Atkin-Lehner |
2+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69290g |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
3344495956100 = 22 · 52 · 138 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24959,-1508935] |
[a1,a2,a3,a4,a6] |
j |
356250045969/692900 |
j-invariant |
L |
0.7597534578708 |
L(r)(E,1)/r! |
Ω |
0.37987672744576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330b1 |
Quadratic twists by: 13 |