Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018r |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-826878404456 = -1 · 23 · 133 · 196 |
Discriminant |
Eigenvalues |
2+ 1 -3 -3 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1075,41680] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:184:1] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
2.7154869582081 |
L(r)(E,1)/r! |
Ω |
0.64563929230034 |
Real period |
R |
1.051472158494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122018bi1 338e1 |
Quadratic twists by: 13 -19 |