Atkin-Lehner |
3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
25773i |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
12452302269 = 32 · 117 · 71 |
Discriminant |
Eigenvalues |
2 3+ -3 3 11- 1 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1492,-21033] |
[a1,a2,a3,a4,a6] |
Generators |
[362:359:8] |
Generators of the group modulo torsion |
j |
207474688/7029 |
j-invariant |
L |
8.1432695824244 |
L(r)(E,1)/r! |
Ω |
0.7697247740187 |
Real period |
R |
2.6448640661222 |
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 |
77319s1 2343c1 |
Quadratic twists by: -3 -11 |