Atkin-Lehner |
5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112385h |
Isogeny class |
Conductor |
112385 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
411840 |
Modular degree for the optimal curve |
Δ |
2712304647325 = 52 · 7 · 138 · 19 |
Discriminant |
Eigenvalues |
0 3 5+ 7- 3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8788,-307031] |
[a1,a2,a3,a4,a6] |
j |
92012544/3325 |
j-invariant |
L |
2.9651207796027 |
L(r)(E,1)/r! |
Ω |
0.49418662111268 |
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 |
112385k1 |
Quadratic twists by: 13 |