Atkin-Lehner |
2- 3+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36312g |
Isogeny class |
Conductor |
36312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
-94120704 = -1 · 28 · 35 · 17 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 3 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,405] |
[a1,a2,a3,a4,a6] |
Generators |
[19:90:1] |
Generators of the group modulo torsion |
j |
106314752/367659 |
j-invariant |
L |
6.8241408015032 |
L(r)(E,1)/r! |
Ω |
1.3481213618226 |
Real period |
R |
2.5309816292346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72624i1 108936f1 |
Quadratic twists by: -4 -3 |