Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
95220b |
Isogeny class |
Conductor |
95220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2755584 |
Modular degree for the optimal curve |
Δ |
486311218595010000 = 24 · 33 · 54 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7592208,8051865093] |
[a1,a2,a3,a4,a6] |
Generators |
[441877839:5785297500:226981] |
Generators of the group modulo torsion |
j |
62200479744/625 |
j-invariant |
L |
6.8321087964427 |
L(r)(E,1)/r! |
Ω |
0.26657544980881 |
Real period |
R |
12.814587380218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95220e1 95220f1 |
Quadratic twists by: -3 -23 |