Atkin-Lehner |
2- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
37024c |
Isogeny class |
Conductor |
37024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
800903168 = 212 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 0 2 -1 2 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1544,23312] |
[a1,a2,a3,a4,a6] |
Generators |
[16:52:1] |
Generators of the group modulo torsion |
j |
99381523968/195533 |
j-invariant |
L |
5.974087812113 |
L(r)(E,1)/r! |
Ω |
1.5926293532223 |
Real period |
R |
1.875542416704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37024a1 74048l1 |
Quadratic twists by: -4 8 |