Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200cs |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-96588800000000 = -1 · 216 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 11+ -2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11500,670000] |
[a1,a2,a3,a4,a6] |
j |
-6570180/3773 |
j-invariant |
L |
1.1131274174174 |
L(r)(E,1)/r! |
Ω |
0.55656284771307 |
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 |
123200hz1 15400u1 123200bx1 |
Quadratic twists by: -4 8 5 |