Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48312j |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-297533896704 = -1 · 211 · 39 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 11- 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-106731,13420998] |
[a1,a2,a3,a4,a6] |
Generators |
[1506:81:8] |
Generators of the group modulo torsion |
j |
-3335601825558/7381 |
j-invariant |
L |
8.6039525101696 |
L(r)(E,1)/r! |
Ω |
0.8377853103566 |
Real period |
R |
2.5674693754524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96624a1 48312a1 |
Quadratic twists by: -4 -3 |