Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95200a |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-33320000000 = -1 · 29 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -2 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,-21688] |
[a1,a2,a3,a4,a6] |
Generators |
[506:2975:8] |
Generators of the group modulo torsion |
j |
-38614472/4165 |
j-invariant |
L |
5.0293440631935 |
L(r)(E,1)/r! |
Ω |
0.38730838936575 |
Real period |
R |
3.2463433447105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95200bb1 19040l1 |
Quadratic twists by: -4 5 |