Atkin-Lehner |
2- 3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37488o |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
151133228285952 = 214 · 3 · 112 · 714 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125584,17161408] |
[a1,a2,a3,a4,a6] |
Generators |
[234:730:1] |
Generators of the group modulo torsion |
j |
53477384397109777/36897760812 |
j-invariant |
L |
2.3344488015864 |
L(r)(E,1)/r! |
Ω |
0.57262061119723 |
Real period |
R |
4.076780953982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4686c3 112464bg4 |
Quadratic twists by: -4 -3 |