Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576t |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-690669278208 = -1 · 210 · 32 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 3 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3544,-91708] |
[a1,a2,a3,a4,a6] |
j |
-834148/117 |
j-invariant |
L |
1.2279425059052 |
L(r)(E,1)/r! |
Ω |
0.30698562647622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15288b1 122304er1 91728m1 30576j1 |
Quadratic twists by: -4 8 -3 -7 |