Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136bh |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-146396513009664 = -1 · 215 · 39 · 613 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 6 6 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129708,17989776] |
[a1,a2,a3,a4,a6] |
j |
-374181897816/226981 |
j-invariant |
L |
2.2926562519683 |
L(r)(E,1)/r! |
Ω |
0.57316406299268 |
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 |
35136bi1 17568g1 35136bg1 |
Quadratic twists by: -4 8 -3 |