Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860r |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
4902707250000 = 24 · 38 · 56 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10092,375401] |
[a1,a2,a3,a4,a6] |
Generators |
[292:-4725:1] [-80:819:1] |
Generators of the group modulo torsion |
j |
9745585291264/420328125 |
j-invariant |
L |
11.223988186864 |
L(r)(E,1)/r! |
Ω |
0.76150800806152 |
Real period |
R |
0.40942110435594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25620d1 |
Quadratic twists by: -3 |