Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3080a |
Isogeny class |
Conductor |
3080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-2759680 = -1 · 210 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11+ 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-80] |
[a1,a2,a3,a4,a6] |
j |
-4/2695 |
j-invariant |
L |
1.1680192393942 |
L(r)(E,1)/r! |
Ω |
1.1680192393942 |
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 |
6160e1 24640g1 27720bg1 15400r1 |
Quadratic twists by: -4 8 -3 5 |