Atkin-Lehner |
2+ 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128b |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
85174676496 = 24 · 35 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -2 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53184,-4703139] |
[a1,a2,a3,a4,a6] |
j |
1039812152065376512/5323417281 |
j-invariant |
L |
1.8862749988377 |
L(r)(E,1)/r! |
Ω |
0.31437916647438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256u1 111384cj1 |
Quadratic twists by: -4 -3 |