Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122018ba |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
269280 |
Modular degree for the optimal curve |
Δ |
-264856663448 = -1 · 23 · 136 · 193 |
Discriminant |
Eigenvalues |
2- -3 -2 3 2 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-201,-24735] |
[a1,a2,a3,a4,a6] |
j |
-27/8 |
j-invariant |
L |
2.6337235800731 |
L(r)(E,1)/r! |
Ω |
0.43895398329226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722b1 122018c1 |
Quadratic twists by: 13 -19 |