Atkin-Lehner |
5+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
22525a |
Isogeny class |
Conductor |
22525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
32748578369140625 = 512 · 17 · 534 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-114938,12202867] |
[a1,a2,a3,a4,a6] |
Generators |
[41:2729:1] |
Generators of the group modulo torsion |
j |
10747187598081241/2095909015625 |
j-invariant |
L |
2.0244967421665 |
L(r)(E,1)/r! |
Ω |
0.35030525403297 |
Real period |
R |
5.7792360201823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4505b1 |
Quadratic twists by: 5 |