Atkin-Lehner |
2+ 5+ 37+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19610a |
Isogeny class |
Conductor |
19610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25536 |
Modular degree for the optimal curve |
Δ |
219923169280 = 214 · 5 · 373 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 1 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3184,65086] |
[a1,a2,a3,a4,a6] |
j |
3568180380811129/219923169280 |
j-invariant |
L |
1.9591425703455 |
L(r)(E,1)/r! |
Ω |
0.97957128517273 |
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 |
98050o1 |
Quadratic twists by: 5 |