Atkin-Lehner |
2- 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2958b |
Isogeny class |
Conductor |
2958 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-184650192 = -1 · 24 · 34 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 1 4 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3522,-80748] |
[a1,a2,a3,a4,a6] |
j |
-4831694578428193/184650192 |
j-invariant |
L |
4.9578178380887 |
L(r)(E,1)/r! |
Ω |
0.30986361488054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23664h1 94656b1 8874e1 73950l1 |
Quadratic twists by: -4 8 -3 5 |