Atkin-Lehner |
2+ 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560b |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-55154400000 = -1 · 28 · 3 · 55 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8561,307965] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:773:1] |
Generators of the group modulo torsion |
j |
-271086547416064/215446875 |
j-invariant |
L |
5.253631515998 |
L(r)(E,1)/r! |
Ω |
1.1094580840835 |
Real period |
R |
4.735313210046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56280x1 |
Quadratic twists by: -4 |