Atkin-Lehner |
3+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
36135b |
Isogeny class |
Conductor |
36135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
79027245 = 39 · 5 · 11 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-108,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:13:1] |
Generators of the group modulo torsion |
j |
7077888/4015 |
j-invariant |
L |
3.0917372607393 |
L(r)(E,1)/r! |
Ω |
1.5985991288246 |
Real period |
R |
0.96701455824392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36135d1 |
Quadratic twists by: -3 |