Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7098bc |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
148512 |
Modular degree for the optimal curve |
Δ |
379457153116274688 = 217 · 3 · 7 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -3 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-771742,259196612] |
[a1,a2,a3,a4,a6] |
j |
368728437337/2752512 |
j-invariant |
L |
5.1447913192716 |
L(r)(E,1)/r! |
Ω |
0.30263478348657 |
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 |
56784bj1 21294bh1 49686cf1 7098j1 |
Quadratic twists by: -4 -3 -7 13 |