Atkin-Lehner |
2- 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36660g |
Isogeny class |
Conductor |
36660 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
115584 |
Modular degree for the optimal curve |
Δ |
-56624261740800 = -1 · 28 · 3 · 52 · 137 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64116,-6280716] |
[a1,a2,a3,a4,a6] |
Generators |
[299:1170:1] |
Generators of the group modulo torsion |
j |
-113864876926152784/221188522425 |
j-invariant |
L |
6.5016548812932 |
L(r)(E,1)/r! |
Ω |
0.14999501757777 |
Real period |
R |
3.096128975428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109980w1 |
Quadratic twists by: -3 |