Atkin-Lehner |
2- 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570be |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
235520 |
Modular degree for the optimal curve |
Δ |
2304239602500 = 22 · 311 · 54 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236912,44443311] |
[a1,a2,a3,a4,a6] |
j |
2017231040668584889/3160822500 |
j-invariant |
L |
5.5860642091842 |
L(r)(E,1)/r! |
Ω |
0.69825802615094 |
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 |
14190a1 |
Quadratic twists by: -3 |