Atkin-Lehner |
2- 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
32370bc |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
99 |
Product of Tamagawa factors cp |
deg |
313632 |
Modular degree for the optimal curve |
Δ |
31281320558592000 = 233 · 33 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-213991,37121225] |
[a1,a2,a3,a4,a6] |
j |
1083703219791018913009/31281320558592000 |
j-invariant |
L |
4.0607418946292 |
L(r)(E,1)/r! |
Ω |
0.3691583540574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97110bi1 |
Quadratic twists by: -3 |