Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320bp |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
111274560 = 26 · 38 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-813,-8908] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:2:1] [79:648:1] |
Generators of the group modulo torsion |
j |
1273760704/2385 |
j-invariant |
L |
10.255729047783 |
L(r)(E,1)/r! |
Ω |
0.89418167796044 |
Real period |
R |
5.7347009565784 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320m1 25440f1 |
Quadratic twists by: -4 -3 |