Atkin-Lehner |
2- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37960d |
Isogeny class |
Conductor |
37960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1214720 = 28 · 5 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1583,24242] |
[a1,a2,a3,a4,a6] |
Generators |
[19:32:1] |
Generators of the group modulo torsion |
j |
1713667227984/4745 |
j-invariant |
L |
3.7637668355585 |
L(r)(E,1)/r! |
Ω |
2.3736776315641 |
Real period |
R |
1.5856267866828 |
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 |
75920c1 |
Quadratic twists by: -4 |