Atkin-Lehner |
2- 5+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
20210c |
Isogeny class |
Conductor |
20210 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1045440 |
Modular degree for the optimal curve |
Δ |
157260781158400000 = 218 · 55 · 432 · 473 |
Discriminant |
Eigenvalues |
2- 3 5+ -5 -1 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1898028,-1005817169] |
[a1,a2,a3,a4,a6] |
j |
756190718231660599526289/157260781158400000 |
j-invariant |
L |
4.6305421244861 |
L(r)(E,1)/r! |
Ω |
0.12862617012461 |
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 |
101050f1 |
Quadratic twists by: 5 |