Atkin-Lehner |
2- 3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
4602d |
Isogeny class |
Conductor |
4602 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5126071158 = 2 · 32 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-492,2199] |
[a1,a2,a3,a4,a6] |
j |
13172681426113/5126071158 |
j-invariant |
L |
3.7221945397945 |
L(r)(E,1)/r! |
Ω |
1.2407315132648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36816v2 13806e2 115050w2 59826a2 |
Quadratic twists by: -4 -3 5 13 |