Atkin-Lehner |
2- 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54672bn |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
2267357184 = 213 · 35 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 5 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3792,88596] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-72:1] |
Generators of the group modulo torsion |
j |
1472594839633/553554 |
j-invariant |
L |
6.0905774318674 |
L(r)(E,1)/r! |
Ω |
1.4324460714864 |
Real period |
R |
0.212593603111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834r1 |
Quadratic twists by: -4 |