Atkin-Lehner |
7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26999c |
Isogeny class |
Conductor |
26999 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54936 |
Modular degree for the optimal curve |
Δ |
-2671356900191 = -1 · 78 · 19 · 293 |
Discriminant |
Eigenvalues |
-1 -1 -3 7+ 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22002,-1267778] |
[a1,a2,a3,a4,a6] |
j |
-204327634273/463391 |
j-invariant |
L |
0.58791719154661 |
L(r)(E,1)/r! |
Ω |
0.19597239718221 |
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 |
26999f1 |
Quadratic twists by: -7 |