Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914b |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
6067398946554 = 2 · 34 · 11 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 11+ 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15087,-709677] |
[a1,a2,a3,a4,a6] |
j |
2565726409/40986 |
j-invariant |
L |
1.7247478244225 |
L(r)(E,1)/r! |
Ω |
0.43118695610489 |
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 |
104742ci1 1518e1 |
Quadratic twists by: -3 -23 |