Atkin-Lehner |
2- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62480j |
Isogeny class |
Conductor |
62480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-8797184000000 = -1 · 216 · 56 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,197,142698] |
[a1,a2,a3,a4,a6] |
Generators |
[13:384:1] |
Generators of the group modulo torsion |
j |
206425071/2147750000 |
j-invariant |
L |
5.435235441442 |
L(r)(E,1)/r! |
Ω |
0.57760488442028 |
Real period |
R |
2.3524885212363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7810b1 |
Quadratic twists by: -4 |