Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bs |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7660800 |
Modular degree for the optimal curve |
Δ |
-2.0519381080871E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90237583,-337026913838] |
[a1,a2,a3,a4,a6] |
Generators |
[120348520176969407210083132568754410426692900173073413490255739002819197965409134149360925388689434771309056685863885360666124534444419026634:19353728306735370518749905175056061658738965349171659301046252982245060430072406530077953423988118169120228250555341070628172636635986105196922:4103188062575239848411251192726148491478651573587199516369262877042968901207014136450468446420833119776603197256387339944765718244874923] |
Generators of the group modulo torsion |
j |
-46028377077760/1162261467 |
j-invariant |
L |
5.346742504636 |
L(r)(E,1)/r! |
Ω |
0.024455412059954 |
Real period |
R |
218.63228031195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ca1 58800co1 58800dv1 |
Quadratic twists by: -4 5 -7 |