Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bg |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1882145776896 = 28 · 311 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- -6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3828,-62876] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:126:1] [-40:162:1] |
Generators of the group modulo torsion |
j |
274717696/83349 |
j-invariant |
L |
9.6136193913226 |
L(r)(E,1)/r! |
Ω |
0.62124800807201 |
Real period |
R |
0.32238934325265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968bi1 20328ba1 60984bw1 |
Quadratic twists by: -4 -3 -11 |