Atkin-Lehner |
5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23275h |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-9673671875 = -1 · 57 · 73 · 192 |
Discriminant |
Eigenvalues |
0 -1 5+ 7- -3 -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,117,4668] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:471:8] [-2:66:1] |
Generators of the group modulo torsion |
j |
32768/1805 |
j-invariant |
L |
5.3877938790404 |
L(r)(E,1)/r! |
Ω |
0.98313167145903 |
Real period |
R |
0.68502953819058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655o1 23275t1 |
Quadratic twists by: 5 -7 |