Atkin-Lehner |
3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55419g |
Isogeny class |
Conductor |
55419 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-1.5883043463339E+19 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,331508,-177085219] |
[a1,a2,a3,a4,a6] |
Generators |
[5366:-151745:8] [487:9752:1] |
Generators of the group modulo torsion |
j |
34246752505800407/135003641878287 |
j-invariant |
L |
12.207754152338 |
L(r)(E,1)/r! |
Ω |
0.11184715142027 |
Real period |
R |
2.0212362896046 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7917a1 |
Quadratic twists by: -7 |