Atkin-Lehner |
2- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312y |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
1977536 = 26 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 2 2 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[-134970:6551:27000] |
Generators of the group modulo torsion |
j |
58411072/30899 |
j-invariant |
L |
9.3372951628165 |
L(r)(E,1)/r! |
Ω |
2.1251340041672 |
Real period |
R |
8.7874883602684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37312bi1 18656h2 |
Quadratic twists by: -4 8 |