Atkin-Lehner |
3- 5+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
24495g |
Isogeny class |
Conductor |
24495 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-380284875 = -1 · 34 · 53 · 232 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 2 -7 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3826,89830] |
[a1,a2,a3,a4,a6] |
Generators |
[32:34:1] |
Generators of the group modulo torsion |
j |
-6195439432658944/380284875 |
j-invariant |
L |
2.9452484103161 |
L(r)(E,1)/r! |
Ω |
1.60432652295 |
Real period |
R |
0.22947700859084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73485l1 122475j1 |
Quadratic twists by: -3 5 |