Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bv |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-3437382988726272 = -1 · 227 · 36 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -2 -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23619,3147842] |
[a1,a2,a3,a4,a6] |
j |
-488001047617/1151172608 |
j-invariant |
L |
1.5788902818948 |
L(r)(E,1)/r! |
Ω |
0.39472255998433 |
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 |
14706h1 13072f1 |
Quadratic twists by: -4 -3 |