Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305s |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-83184682270561515 = -1 · 39 · 5 · 72 · 297 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 3 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-30556,14017780] |
[a1,a2,a3,a4,a6] |
Generators |
[425:8830:1] |
Generators of the group modulo torsion |
j |
-5304438784/139847715 |
j-invariant |
L |
4.4959337006526 |
L(r)(E,1)/r! |
Ω |
0.28597522347994 |
Real period |
R |
0.21835291519365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3045b1 |
Quadratic twists by: 29 |