Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
51120bj |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-66251520 = -1 · 28 · 36 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -4 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,412] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:22:1] [2:-18:1] |
Generators of the group modulo torsion |
j |
-65536/355 |
j-invariant |
L |
8.2290308562989 |
L(r)(E,1)/r! |
Ω |
1.6945691287056 |
Real period |
R |
1.2140299732985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12780a1 5680i1 |
Quadratic twists by: -4 -3 |