Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080ba |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-3393255018332160 = -1 · 230 · 37 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42776,-4424556] |
[a1,a2,a3,a4,a6] |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
2.2795798866776 |
L(r)(E,1)/r! |
Ω |
0.16282713476269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510a1 16320cf1 12240bz1 20400bw1 |
Quadratic twists by: -4 8 -3 5 |