Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472bd |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
62869880832 = 214 · 3 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5489,-157905] |
[a1,a2,a3,a4,a6] |
Generators |
[99:528:1] |
Generators of the group modulo torsion |
j |
1116509913808/3837273 |
j-invariant |
L |
6.5623557808511 |
L(r)(E,1)/r! |
Ω |
0.55476544929554 |
Real period |
R |
1.9715105995121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bn1 8184a1 |
Quadratic twists by: -4 8 |