Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296cp |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
9874489539094992 = 24 · 310 · 710 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59412,-2865445] |
[a1,a2,a3,a4,a6] |
Generators |
[853:23814:1] |
Generators of the group modulo torsion |
j |
1988376942198784/846578321253 |
j-invariant |
L |
5.008528321087 |
L(r)(E,1)/r! |
Ω |
0.31772806226475 |
Real period |
R |
1.5763569278034 |
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 |
9324d1 12432bm1 |
Quadratic twists by: -4 -3 |