Atkin-Lehner |
2- 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bw |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-120207735521280000 = -1 · 224 · 33 · 54 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,121824,-3185676] |
[a1,a2,a3,a4,a6] |
j |
48815614945382111/29347591680000 |
j-invariant |
L |
2.3144013771707 |
L(r)(E,1)/r! |
Ω |
0.19286678127182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570r1 |
Quadratic twists by: -4 |