Atkin-Lehner |
2+ 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600bk |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-348520320000 = -1 · 210 · 38 · 54 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 1 -4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1608,37188] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-270:1] [-42:180:1] |
Generators of the group modulo torsion |
j |
-718905700/544563 |
j-invariant |
L |
12.363967748023 |
L(r)(E,1)/r! |
Ω |
0.88120335725453 |
Real period |
R |
0.14615392650488 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800ba1 99600c1 |
Quadratic twists by: -4 5 |