Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576bx |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-640153295531568 = -1 · 24 · 35 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15353,1425684] |
[a1,a2,a3,a4,a6] |
j |
-212629504000/340075827 |
j-invariant |
L |
1.8384444665557 |
L(r)(E,1)/r! |
Ω |
0.45961111663859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7644h1 122304gw1 91728ex1 4368x1 |
Quadratic twists by: -4 8 -3 -7 |