Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31768g |
Isogeny class |
Conductor |
31768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-17265082581967616 = -1 · 28 · 11 · 1910 |
Discriminant |
Eigenvalues |
2- -1 -3 2 11+ -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-222857,41058589] |
[a1,a2,a3,a4,a6] |
Generators |
[279:722:1] |
Generators of the group modulo torsion |
j |
-101634915328/1433531 |
j-invariant |
L |
2.6087461370864 |
L(r)(E,1)/r! |
Ω |
0.39063149580979 |
Real period |
R |
1.6695697640037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63536i1 1672b1 |
Quadratic twists by: -4 -19 |