Atkin-Lehner |
5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96815d |
Isogeny class |
Conductor |
96815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79360 |
Modular degree for the optimal curve |
Δ |
13784035625 = 54 · 173 · 672 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-601,456] |
[a1,a2,a3,a4,a6] |
Generators |
[-876:5463:64] [-1:33:1] |
Generators of the group modulo torsion |
j |
4887035873/2805625 |
j-invariant |
L |
4.8402230778414 |
L(r)(E,1)/r! |
Ω |
1.0722221241614 |
Real period |
R |
2.2570990510559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96815k1 |
Quadratic twists by: 17 |