Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376t |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
220171162176 = 26 · 34 · 76 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5602,-161680] |
[a1,a2,a3,a4,a6] |
Generators |
[1136:38220:1] |
Generators of the group modulo torsion |
j |
2582630848/29241 |
j-invariant |
L |
8.7390163130543 |
L(r)(E,1)/r! |
Ω |
0.55221027762265 |
Real period |
R |
3.9563806876602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001601 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89376bx1 1824c1 |
Quadratic twists by: -4 -7 |