Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160bl |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16727040 |
Modular degree for the optimal curve |
Δ |
-8.9711295057101E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -5 -2 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1248284163,-16975333143038] |
[a1,a2,a3,a4,a6] |
Generators |
[12458981537837101:-142338448345268250:304957115891] |
Generators of the group modulo torsion |
j |
-72040483310118508805967361/300441312000000 |
j-invariant |
L |
2.4836230695417 |
L(r)(E,1)/r! |
Ω |
0.01269963367414 |
Real period |
R |
24.445814080833 |
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 |
4770i1 12720bl1 |
Quadratic twists by: -4 -3 |