Atkin-Lehner |
3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37845f |
Isogeny class |
Conductor |
37845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-45981675 = -1 · 37 · 52 · 292 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 -4 -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,87,94] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [4:-23:1] |
Generators of the group modulo torsion |
j |
118784/75 |
j-invariant |
L |
4.4249476963627 |
L(r)(E,1)/r! |
Ω |
1.2536652780925 |
Real period |
R |
0.4412010699435 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12615d1 37845g1 |
Quadratic twists by: -3 29 |