Atkin-Lehner |
2- 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088bf |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-1.6290076281975E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3266869,-2355305845] |
[a1,a2,a3,a4,a6] |
Generators |
[147076:3055143:64] |
Generators of the group modulo torsion |
j |
-3765468751313385422848/159082776191162547 |
j-invariant |
L |
7.4961734830415 |
L(r)(E,1)/r! |
Ω |
0.056009803565302 |
Real period |
R |
4.4612270371918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088b1 28272e1 |
Quadratic twists by: -4 8 |