Atkin-Lehner |
3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
25773g |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
12452302269 = 32 · 117 · 71 |
Discriminant |
Eigenvalues |
0 3+ 1 3 11- 5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-645,3530] |
[a1,a2,a3,a4,a6] |
Generators |
[26:60:1] |
Generators of the group modulo torsion |
j |
16777216/7029 |
j-invariant |
L |
4.4769531922303 |
L(r)(E,1)/r! |
Ω |
1.1445780668203 |
Real period |
R |
0.48893051968351 |
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 |
77319q1 2343d1 |
Quadratic twists by: -3 -11 |