Atkin-Lehner |
2+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27808d |
Isogeny class |
Conductor |
27808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1525038384246784 = 212 · 112 · 795 |
Discriminant |
Eigenvalues |
2+ 1 1 -1 11- -7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126065,17083487] |
[a1,a2,a3,a4,a6] |
j |
54094211363273536/372323824279 |
j-invariant |
L |
1.9172377297196 |
L(r)(E,1)/r! |
Ω |
0.47930943242992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27808b1 55616s1 |
Quadratic twists by: -4 8 |