Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368x |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-5441213232 = -1 · 24 · 35 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313,-4246] |
[a1,a2,a3,a4,a6] |
j |
-212629504000/340075827 |
j-invariant |
L |
2.6871632043148 |
L(r)(E,1)/r! |
Ω |
0.53743264086297 |
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 |
1092a1 17472cj1 13104bz1 109200dg1 |
Quadratic twists by: -4 8 -3 5 |