Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440cu |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-33484389120 = -1 · 28 · 35 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156,8784] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:78:1] |
Generators of the group modulo torsion |
j |
-33685456/2669355 |
j-invariant |
L |
8.3388121199604 |
L(r)(E,1)/r! |
Ω |
0.96040790199315 |
Real period |
R |
0.14470955697948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76440bx1 |
Quadratic twists by: -7 |