Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230q |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1593082183680 = 216 · 39 · 5 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7020,219856] |
[a1,a2,a3,a4,a6] |
j |
52485860157121/2185297920 |
j-invariant |
L |
1.6735818761579 |
L(r)(E,1)/r! |
Ω |
0.83679093807894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410r1 111150ef1 |
Quadratic twists by: -3 5 |