Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810ce |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
3549238560 = 25 · 39 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8576,-309247] |
[a1,a2,a3,a4,a6] |
j |
1423590608187601/72433440 |
j-invariant |
L |
2.4805582396552 |
L(r)(E,1)/r! |
Ω |
0.4961116479309 |
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 |
101430cb1 33810dc1 |
Quadratic twists by: -3 -7 |