Atkin-Lehner |
2+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424a |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-3635052713074432 = -1 · 28 · 1310 · 103 |
Discriminant |
Eigenvalues |
2+ 0 0 0 2 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123215,16898126] |
[a1,a2,a3,a4,a6] |
j |
-808117461488178000/14199424660447 |
j-invariant |
L |
2.220589489236 |
L(r)(E,1)/r! |
Ω |
0.44411789784721 |
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 |
10712d2 85696bf2 |
Quadratic twists by: -4 8 |