Atkin-Lehner |
2- 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34596b |
Isogeny class |
Conductor |
34596 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-5895182850792192 = -1 · 28 · 33 · 318 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -6 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-714984,-232727292] |
[a1,a2,a3,a4,a6] |
j |
-6856704 |
j-invariant |
L |
1.9701664534661 |
L(r)(E,1)/r! |
Ω |
0.082090268894541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34596c1 34596f1 |
Quadratic twists by: -3 -31 |