Atkin-Lehner |
2+ 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56392a |
Isogeny class |
Conductor |
56392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-789488 = -1 · 24 · 72 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ -5 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,41] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] [-1:7:1] |
Generators of the group modulo torsion |
j |
-4000000/49343 |
j-invariant |
L |
10.807740512949 |
L(r)(E,1)/r! |
Ω |
2.4047409983006 |
Real period |
R |
1.1235867522314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112784e1 |
Quadratic twists by: -4 |