Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576bb |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
13698048 = 210 · 3 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72,132] |
[a1,a2,a3,a4,a6] |
j |
119164/39 |
j-invariant |
L |
4.1196061731428 |
L(r)(E,1)/r! |
Ω |
2.059803086573 |
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 |
15288x1 122304fn1 91728br1 30576f1 |
Quadratic twists by: -4 8 -3 -7 |