Atkin-Lehner |
2- 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560cr |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
744584400 = 24 · 34 · 52 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7645,254750] |
[a1,a2,a3,a4,a6] |
Generators |
[110:870:1] |
Generators of the group modulo torsion |
j |
3088822876635136/46536525 |
j-invariant |
L |
8.2160219901286 |
L(r)(E,1)/r! |
Ω |
1.4635384954102 |
Real period |
R |
2.8069032756224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958567 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140f1 |
Quadratic twists by: -4 |