Atkin-Lehner |
2- 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25172d |
Isogeny class |
Conductor |
25172 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
10837250816 = 28 · 72 · 29 · 313 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 2 2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-684,-4504] |
[a1,a2,a3,a4,a6] |
j |
138448046032/42333011 |
j-invariant |
L |
5.733863238335 |
L(r)(E,1)/r! |
Ω |
0.95564387305583 |
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 |
100688bh1 |
Quadratic twists by: -4 |