Atkin-Lehner |
3+ 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
45135d |
Isogeny class |
Conductor |
45135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
28527260805 = 39 · 5 · 173 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5- 3 -2 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9882,378020] |
[a1,a2,a3,a4,a6] |
j |
5422093074432/1449335 |
j-invariant |
L |
2.3068477353504 |
L(r)(E,1)/r! |
Ω |
1.1534238677374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45135c1 |
Quadratic twists by: -3 |