Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048k |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
1610436816 = 24 · 38 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 2 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-714,-7085] |
[a1,a2,a3,a4,a6] |
Generators |
[1905377:31604580:6859] |
Generators of the group modulo torsion |
j |
3451205632/138069 |
j-invariant |
L |
9.6945417476857 |
L(r)(E,1)/r! |
Ω |
0.92585913775927 |
Real period |
R |
10.470860347689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48024o1 32016i1 |
Quadratic twists by: -4 -3 |