Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928cj |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-1178364837888 = -1 · 215 · 311 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,39184] |
[a1,a2,a3,a4,a6] |
j |
37259704/49329 |
j-invariant |
L |
2.3336812086601 |
L(r)(E,1)/r! |
Ω |
0.58342016335699 |
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 |
116928br1 58464l1 38976w1 |
Quadratic twists by: -4 8 -3 |