Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192t |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
21815265186407056 = 24 · 710 · 136 |
Discriminant |
Eigenvalues |
2- 1 3 7- -3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82434,-5727541] |
[a1,a2,a3,a4,a6] |
Generators |
[66703395:626327351:185193] |
Generators of the group modulo torsion |
j |
13707167488/4826809 |
j-invariant |
L |
6.0747148243886 |
L(r)(E,1)/r! |
Ω |
0.28992127940133 |
Real period |
R |
10.476490095747 |
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 |
2548f2 40768dq2 91728er2 10192p2 |
Quadratic twists by: -4 8 -3 -7 |