Atkin-Lehner |
2+ 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560m |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
99698331600 = 24 · 312 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4151,100440] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:270:1] |
Generators of the group modulo torsion |
j |
494500288681984/6231145725 |
j-invariant |
L |
8.9523812461408 |
L(r)(E,1)/r! |
Ω |
1.0678641346507 |
Real period |
R |
1.3972409907953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280o1 |
Quadratic twists by: -4 |