Atkin-Lehner |
2- 7- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100646k |
Isogeny class |
Conductor |
100646 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
5233592 = 23 · 72 · 132 · 79 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 5 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50,76] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:16:1] [-2:14:1] |
Generators of the group modulo torsion |
j |
282475249/106808 |
j-invariant |
L |
9.9608284499806 |
L(r)(E,1)/r! |
Ω |
2.2078569111295 |
Real period |
R |
0.75192285629244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100646g1 |
Quadratic twists by: -7 |