Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
89712d |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-25786570392576 = -1 · 210 · 36 · 72 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1773,-242622] |
[a1,a2,a3,a4,a6] |
Generators |
[2203:103418:1] |
Generators of the group modulo torsion |
j |
825700284/34543481 |
j-invariant |
L |
7.778677537453 |
L(r)(E,1)/r! |
Ω |
0.32151992887093 |
Real period |
R |
6.0483634348182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015504 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44856b1 9968c1 |
Quadratic twists by: -4 -3 |