Atkin-Lehner |
2+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
95680x |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
207317893120 = 218 · 5 · 13 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -2 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70465,7223105] |
[a1,a2,a3,a4,a6] |
Generators |
[161:160:1] |
Generators of the group modulo torsion |
j |
147608144916049/790855 |
j-invariant |
L |
5.4154954399279 |
L(r)(E,1)/r! |
Ω |
0.88817853568403 |
Real period |
R |
1.5243262580794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999717572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680ca1 1495a1 |
Quadratic twists by: -4 8 |