Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37026t |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
214606703874630672 = 24 · 39 · 119 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-168455,14581999] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:6532:1] |
Generators of the group modulo torsion |
j |
11390625/4624 |
j-invariant |
L |
10.071000736869 |
L(r)(E,1)/r! |
Ω |
0.28635226382034 |
Real period |
R |
4.3962463411792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37026a1 37026b1 |
Quadratic twists by: -3 -11 |