Atkin-Lehner |
3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29325c |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
2291015625 = 3 · 59 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76375,-8156000] |
[a1,a2,a3,a4,a6] |
j |
3153306897252721/146625 |
j-invariant |
L |
0.57436901762441 |
L(r)(E,1)/r! |
Ω |
0.28718450881311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87975ba1 5865h1 |
Quadratic twists by: -3 5 |