Atkin-Lehner |
5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96815k |
Isogeny class |
Conductor |
96815 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1349120 |
Modular degree for the optimal curve |
Δ |
332713110996895625 = 54 · 179 · 672 |
Discriminant |
Eigenvalues |
-1 2 5- -2 6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-173695,2414020] |
[a1,a2,a3,a4,a6] |
Generators |
[-320:5195:1] |
Generators of the group modulo torsion |
j |
4887035873/2805625 |
j-invariant |
L |
6.5865535322371 |
L(r)(E,1)/r! |
Ω |
0.26005206306126 |
Real period |
R |
6.3319566069094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96815d1 |
Quadratic twists by: 17 |