Atkin-Lehner |
3+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25773d |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
12452302269 = 32 · 117 · 71 |
Discriminant |
Eigenvalues |
2 3+ 1 -1 11- -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3670,-84195] |
[a1,a2,a3,a4,a6] |
j |
3086626816/7029 |
j-invariant |
L |
2.4538193927167 |
L(r)(E,1)/r! |
Ω |
0.61345484817908 |
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 |
77319bc1 2343b1 |
Quadratic twists by: -3 -11 |