Atkin-Lehner |
5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
25235a |
Isogeny class |
Conductor |
25235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
165673689453125 = 59 · 77 · 103 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 6 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17901,-676943] |
[a1,a2,a3,a4,a6] |
j |
5392518086656/1408203125 |
j-invariant |
L |
1.6829482592941 |
L(r)(E,1)/r! |
Ω |
0.42073706482351 |
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 |
126175c1 3605c1 |
Quadratic twists by: 5 -7 |