Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080co |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
38751436800 = 218 · 34 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2625,-51777] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:12:1] |
Generators of the group modulo torsion |
j |
7633736209/147825 |
j-invariant |
L |
8.6920116472076 |
L(r)(E,1)/r! |
Ω |
0.66775068501548 |
Real period |
R |
1.6271064641105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080m1 17520j1 |
Quadratic twists by: -4 8 |