Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786g |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22892544 |
Modular degree for the optimal curve |
Δ |
3.1903021864862E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-132989112,-589640160960] |
[a1,a2,a3,a4,a6] |
Generators |
[1348721167835641523049733404556418274519376:983115908192640682076721426525651728464833464:2533700565944815245251111954924177179] |
Generators of the group modulo torsion |
j |
198104308022375/242970624 |
j-invariant |
L |
5.9577329105819 |
L(r)(E,1)/r! |
Ω |
0.044460824993429 |
Real period |
R |
66.999802010671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999446102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262w1 123786h1 |
Quadratic twists by: -3 -23 |