Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376h |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
21029994048 = 26 · 3 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-702,-1392] |
[a1,a2,a3,a4,a6] |
j |
5088448/2793 |
j-invariant |
L |
1.9826862543997 |
L(r)(E,1)/r! |
Ω |
0.99134316854567 |
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 |
89376y1 12768j1 |
Quadratic twists by: -4 -7 |