Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11655g |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-2832165 = -1 · 37 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -5 4 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,0,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] |
Generators of the group modulo torsion |
j |
-1/3885 |
j-invariant |
L |
4.4872216034146 |
L(r)(E,1)/r! |
Ω |
2.0245034516887 |
Real period |
R |
0.55411384945672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3885i1 58275u1 81585bf1 |
Quadratic twists by: -3 5 -7 |