Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136n |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2624337491410944 = 214 · 316 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-711516,-230993840] |
[a1,a2,a3,a4,a6] |
j |
3335264310828112/219721329 |
j-invariant |
L |
0.32876463863622 |
L(r)(E,1)/r! |
Ω |
0.16438231931506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35136bw2 4392c2 11712j2 |
Quadratic twists by: -4 8 -3 |