Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968w |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
82710102016 = 219 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ -3 -1 2 1 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1228,-9104] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-608:1] |
Generators of the group modulo torsion |
j |
781229961/315514 |
j-invariant |
L |
3.5204101576718 |
L(r)(E,1)/r! |
Ω |
0.83531516187654 |
Real period |
R |
0.35120578019949 |
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 |
27968bh1 874a1 |
Quadratic twists by: -4 8 |