Atkin-Lehner |
2- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312y |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26267648 = 212 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 2 2 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-297,2057] |
[a1,a2,a3,a4,a6] |
Generators |
[-528:55:27] |
Generators of the group modulo torsion |
j |
709732288/6413 |
j-invariant |
L |
9.3372951628165 |
L(r)(E,1)/r! |
Ω |
2.1251340041672 |
Real period |
R |
4.3937441801342 |
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 |
37312bi2 18656h1 |
Quadratic twists by: -4 8 |