Atkin-Lehner |
2+ 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886f |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
-7.3418922287568E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1807496,-13002183872] |
[a1,a2,a3,a4,a6] |
Generators |
[13934579435:249543307796:6331625] |
Generators of the group modulo torsion |
j |
368637286278891167/41443067603976192 |
j-invariant |
L |
5.4276929515737 |
L(r)(E,1)/r! |
Ω |
0.051739884158119 |
Real period |
R |
13.112932744355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999672872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626l1 |
Quadratic twists by: -11 |