Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800f |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-664048000000 = -1 · 210 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2125,-10750] |
[a1,a2,a3,a4,a6] |
j |
66325500/41503 |
j-invariant |
L |
2.0928890093816 |
L(r)(E,1)/r! |
Ω |
0.52322225234583 |
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 |
15400q1 123200ec1 1232e1 |
Quadratic twists by: -4 8 5 |