Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1760k |
Isogeny class |
Conductor |
1760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-28160 = -1 · 29 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 1 5- -3 11+ -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,8] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
-8/55 |
j-invariant |
L |
3.23567940956 |
L(r)(E,1)/r! |
Ω |
2.9951440637351 |
Real period |
R |
0.5401542197481 |
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 |
1760m1 3520x1 15840n1 8800b1 |
Quadratic twists by: -4 8 -3 5 |