Atkin-Lehner |
2- 3+ 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354bi |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
60429644352 = 26 · 39 · 72 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1055,-5561] |
[a1,a2,a3,a4,a6] |
j |
6591796875/3070144 |
j-invariant |
L |
5.2575319057677 |
L(r)(E,1)/r! |
Ω |
0.87625551057642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354a1 |
Quadratic twists by: -3 |