Atkin-Lehner |
2- 3- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
108936o |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62464 |
Modular degree for the optimal curve |
Δ |
-847086336 = -1 · 28 · 37 · 17 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -3 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2676,53300] |
[a1,a2,a3,a4,a6] |
Generators |
[28:18:1] [1:225:1] |
Generators of the group modulo torsion |
j |
-11355716608/4539 |
j-invariant |
L |
10.051457765048 |
L(r)(E,1)/r! |
Ω |
1.5564088819439 |
Real period |
R |
0.80726358948015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36312a1 |
Quadratic twists by: -3 |