Atkin-Lehner |
2- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
62656r |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-7581376 = -1 · 26 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 0 -3 -4 11- -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14,134] |
[a1,a2,a3,a4,a6] |
Generators |
[1:11:1] |
Generators of the group modulo torsion |
j |
-4741632/118459 |
j-invariant |
L |
2.8366531898036 |
L(r)(E,1)/r! |
Ω |
1.9652343869731 |
Real period |
R |
0.48113907920249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62656l1 31328a1 |
Quadratic twists by: -4 8 |