Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320i |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
9273600 = 28 · 32 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476,3840] |
[a1,a2,a3,a4,a6] |
Generators |
[7:30:1] |
Generators of the group modulo torsion |
j |
46689225424/36225 |
j-invariant |
L |
4.9122224277675 |
L(r)(E,1)/r! |
Ω |
2.2883162519507 |
Real period |
R |
1.0733268235062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640h1 57960bv1 96600bs1 |
Quadratic twists by: -4 -3 5 |