Atkin-Lehner |
2+ 3- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
96696c |
Isogeny class |
Conductor |
96696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
6767172864 = 28 · 39 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 -4 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7644,257204] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-54:1] [-38:702:1] |
Generators of the group modulo torsion |
j |
264678249472/36261 |
j-invariant |
L |
7.2926874777981 |
L(r)(E,1)/r! |
Ω |
1.2842145761946 |
Real period |
R |
0.35491963400143 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32232d1 |
Quadratic twists by: -3 |