Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766h |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
117600 |
Modular degree for the optimal curve |
Δ |
-1270804481496 = -1 · 23 · 37 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 11- 7 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32672,2260152] |
[a1,a2,a3,a4,a6] |
Generators |
[127:360:1] |
Generators of the group modulo torsion |
j |
-2177286259681/717336 |
j-invariant |
L |
3.0854907138816 |
L(r)(E,1)/r! |
Ω |
0.84354880152003 |
Real period |
R |
1.8288750504545 |
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 |
89298cc1 246a1 |
Quadratic twists by: -3 -11 |