Atkin-Lehner |
2+ 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560q |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-1361525760 = -1 · 210 · 34 · 5 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,1764] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:42:1] [0:42:1] |
Generators of the group modulo torsion |
j |
-19307236/1329615 |
j-invariant |
L |
13.124989073403 |
L(r)(E,1)/r! |
Ω |
1.2563256314611 |
Real period |
R |
1.3058904421674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280m1 |
Quadratic twists by: -4 |