Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334bq |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
244608 |
Modular degree for the optimal curve |
Δ |
-6897914119692288 = -1 · 213 · 313 · 7 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33332,-4623465] |
[a1,a2,a3,a4,a6] |
Generators |
[473:-9471:1] |
Generators of the group modulo torsion |
j |
-5617823470447609/9462159286272 |
j-invariant |
L |
6.0680939205896 |
L(r)(E,1)/r! |
Ω |
0.1670427093165 |
Real period |
R |
0.23286282958209 |
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 |
8778g1 |
Quadratic twists by: -3 |