Atkin-Lehner |
2- 3+ 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118q |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-306375810048 = -1 · 210 · 34 · 73 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-420,26661] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:93:1] [9:-159:1] |
Generators of the group modulo torsion |
j |
-8194759433281/306375810048 |
j-invariant |
L |
9.5448085426101 |
L(r)(E,1)/r! |
Ω |
0.80673618819751 |
Real period |
R |
0.39437958704259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354x1 |
Quadratic twists by: -3 |