Atkin-Lehner |
2+ 3+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110h |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-12332580480 = -1 · 27 · 39 · 5 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 11- -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-744,-9280] |
[a1,a2,a3,a4,a6] |
Generators |
[262:77:8] [55:310:1] |
Generators of the group modulo torsion |
j |
-2315685267/626560 |
j-invariant |
L |
7.4428119742899 |
L(r)(E,1)/r! |
Ω |
0.4506781721264 |
Real period |
R |
8.2573468543866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110bq1 |
Quadratic twists by: -3 |