Atkin-Lehner |
3+ 5+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36465f |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1776407972625 = 312 · 53 · 112 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-69881,7080878] |
[a1,a2,a3,a4,a6] |
Generators |
[154:-43:1] |
Generators of the group modulo torsion |
j |
37739959861384439569/1776407972625 |
j-invariant |
L |
2.6981980997562 |
L(r)(E,1)/r! |
Ω |
0.7884740715158 |
Real period |
R |
3.422050511528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109395w1 |
Quadratic twists by: -3 |