Atkin-Lehner |
2+ 3+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
102414g |
Isogeny class |
Conductor |
102414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-77521964322816 = -1 · 212 · 38 · 134 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 -3 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7264,353280] |
[a1,a2,a3,a4,a6] |
j |
1483830823943/2714259456 |
j-invariant |
L |
1.6802347508182 |
L(r)(E,1)/r! |
Ω |
0.42005875593547 |
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 |
102414p1 |
Quadratic twists by: 13 |