Atkin-Lehner |
2+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330l |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
6830208 |
Modular degree for the optimal curve |
Δ |
-7.8534395283369E+22 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 11+ -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7982368,-10313707136] |
[a1,a2,a3,a4,a6] |
Generators |
[1623:82376:1] |
Generators of the group modulo torsion |
j |
23855289832855909/33306250000000 |
j-invariant |
L |
2.8874517795968 |
L(r)(E,1)/r! |
Ω |
0.057708485724565 |
Real period |
R |
1.137162124733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999756301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88330be1 |
Quadratic twists by: -11 |