Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960dj |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5211378155520 = -1 · 219 · 39 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -4 -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,479,109919] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:108:1] [-25:288:1] |
Generators of the group modulo torsion |
j |
46268279/19879830 |
j-invariant |
L |
12.035352376904 |
L(r)(E,1)/r! |
Ω |
0.59486160578904 |
Real period |
R |
0.56200524719541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960e1 24240ba1 |
Quadratic twists by: -4 8 |