Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635t |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
148727550609825 = 3 · 52 · 119 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-250473,-48266297] |
[a1,a2,a3,a4,a6] |
j |
980952235382881/83952825 |
j-invariant |
L |
3.4145363920214 |
L(r)(E,1)/r! |
Ω |
0.21340852455275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4785d1 |
Quadratic twists by: -11 |