Atkin-Lehner |
2+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
18920c |
Isogeny class |
Conductor |
18920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
118250000 = 24 · 56 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 11+ -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-467,-3849] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:5:1] |
Generators of the group modulo torsion |
j |
703970355456/7390625 |
j-invariant |
L |
5.7078624652871 |
L(r)(E,1)/r! |
Ω |
1.0276512079385 |
Real period |
R |
0.46285665969757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37840d1 94600l1 |
Quadratic twists by: -4 5 |