Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766bu |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
632433641479225344 = 214 · 312 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54921479,156656618889] |
[a1,a2,a3,a4,a6] |
Generators |
[4270:-1163:1] |
Generators of the group modulo torsion |
j |
10341755683137709164937/356992303104 |
j-invariant |
L |
8.0594552267209 |
L(r)(E,1)/r! |
Ω |
0.2126237895975 |
Real period |
R |
0.45124722749899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298t1 246c1 |
Quadratic twists by: -3 -11 |