Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018bb |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-31803015556 = -1 · 22 · 132 · 196 |
Discriminant |
Eigenvalues |
2- 0 1 -4 -4 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,293,-8433] |
[a1,a2,a3,a4,a6] |
Generators |
[651:16280:1] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
7.3835610285315 |
L(r)(E,1)/r! |
Ω |
0.57581856598955 |
Real period |
R |
3.2056803184998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122018e1 338a1 |
Quadratic twists by: 13 -19 |