Atkin-Lehner |
3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25575b |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-17982421875 = -1 · 33 · 59 · 11 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,617,2418] |
[a1,a2,a3,a4,a6] |
j |
1659797504/1150875 |
j-invariant |
L |
1.5514685349274 |
L(r)(E,1)/r! |
Ω |
0.77573426746369 |
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 |
76725u1 5115i1 |
Quadratic twists by: -3 5 |