Atkin-Lehner |
2+ 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040p |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
544821200 = 24 · 52 · 73 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11- -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31435,-2134758] |
[a1,a2,a3,a4,a6] |
j |
214712801793181696/34051325 |
j-invariant |
L |
1.4341847499633 |
L(r)(E,1)/r! |
Ω |
0.35854613171389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58520s1 |
Quadratic twists by: -4 |