Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968t |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-208901493504 = -1 · 28 · 36 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 11+ -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1236,-27628] |
[a1,a2,a3,a4,a6] |
j |
-1118952448/1119371 |
j-invariant |
L |
1.5479034689746 |
L(r)(E,1)/r! |
Ω |
0.38697586724364 |
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 |
45936s1 2552a1 |
Quadratic twists by: -4 -3 |