Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506p |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
27000 |
Modular degree for the optimal curve |
Δ |
-427045408416 = -1 · 25 · 35 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1812,-10166] |
[a1,a2,a3,a4,a6] |
j |
371694959/241056 |
j-invariant |
L |
2.6941439096681 |
L(r)(E,1)/r! |
Ω |
0.53882878193362 |
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 |
67518bz1 186b1 |
Quadratic twists by: -3 -11 |