Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312cl |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-173772229312512 = -1 · 231 · 37 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 1 1 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,852,-634160] |
[a1,a2,a3,a4,a6] |
j |
357911/909312 |
j-invariant |
L |
4.2418243791776 |
L(r)(E,1)/r! |
Ω |
0.2651140236986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21312z1 5328s1 7104bb1 |
Quadratic twists by: -4 8 -3 |