Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10788h |
Isogeny class |
Conductor |
10788 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-3754224 = -1 · 24 · 32 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 2 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1194,15489] |
[a1,a2,a3,a4,a6] |
Generators |
[30:87:1] |
Generators of the group modulo torsion |
j |
-11775528009472/234639 |
j-invariant |
L |
6.3145100667943 |
L(r)(E,1)/r! |
Ω |
2.2918029722722 |
Real period |
R |
0.2296048912578 |
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 |
43152z1 32364l1 |
Quadratic twists by: -4 -3 |