Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hz |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
12 |
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] |
Generators |
[10182:188272:27] |
Generators of the group modulo torsion |
j |
-6570180/3773 |
j-invariant |
L |
14.179617993338 |
L(r)(E,1)/r! |
Ω |
0.22456228676004 |
Real period |
R |
5.2619469002588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200cs1 30800v1 123200fa1 |
Quadratic twists by: -4 8 5 |