Atkin-Lehner |
2- 3- 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810bk |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2768463360000 = -1 · 212 · 34 · 54 · 132 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6800,229632] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-272:1] |
Generators of the group modulo torsion |
j |
-34773983355859201/2768463360000 |
j-invariant |
L |
10.129460832924 |
L(r)(E,1)/r! |
Ω |
0.79085960330105 |
Real period |
R |
0.13341839255565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92430m1 |
Quadratic twists by: -3 |