Atkin-Lehner |
2- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
29524c |
Isogeny class |
Conductor |
29524 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174240 |
Modular degree for the optimal curve |
Δ |
-2246124379702016 = -1 · 28 · 119 · 612 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 11+ 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120677,-16336201] |
[a1,a2,a3,a4,a6] |
Generators |
[3992066:166842181:2197] |
Generators of the group modulo torsion |
j |
-321978368/3721 |
j-invariant |
L |
4.6807602453241 |
L(r)(E,1)/r! |
Ω |
0.12798650266922 |
Real period |
R |
9.1430739720685 |
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 |
118096t1 29524a1 |
Quadratic twists by: -4 -11 |