Atkin-Lehner |
5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2035a |
Isogeny class |
Conductor |
2035 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
13990625 = 55 · 112 · 37 |
Discriminant |
Eigenvalues |
1 0 5+ -2 11+ 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2405,-44800] |
[a1,a2,a3,a4,a6] |
j |
1538758717863849/13990625 |
j-invariant |
L |
1.3634604747684 |
L(r)(E,1)/r! |
Ω |
0.68173023738418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32560l1 18315u1 10175c1 99715j1 |
Quadratic twists by: -4 -3 5 -7 |