Atkin-Lehner |
2+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968l |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
531392 = 26 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24,22] |
[a1,a2,a3,a4,a6] |
j |
24897088/8303 |
j-invariant |
L |
1.3484536343453 |
L(r)(E,1)/r! |
Ω |
2.6969072686897 |
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 |
27968h1 13984b2 |
Quadratic twists by: -4 8 |