Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5368d |
Isogeny class |
Conductor |
5368 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-157185776 = -1 · 24 · 115 · 61 |
Discriminant |
Eigenvalues |
2- 1 -2 3 11- 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-764,7901] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:121:1] |
Generators of the group modulo torsion |
j |
-3086399425792/9824111 |
j-invariant |
L |
4.3720873100583 |
L(r)(E,1)/r! |
Ω |
1.8291582060503 |
Real period |
R |
0.23902182411543 |
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 |
10736c1 42944g1 48312e1 59048e1 |
Quadratic twists by: -4 8 -3 -11 |