Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840g |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-289330652160 = -1 · 210 · 311 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,717,-24802] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2180:1] |
Generators of the group modulo torsion |
j |
54607676/387585 |
j-invariant |
L |
8.116612928742 |
L(r)(E,1)/r! |
Ω |
0.48486708776129 |
Real period |
R |
4.1849679608892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38280p1 |
Quadratic twists by: -3 |