Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300n |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3332000000 = -1 · 28 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,1912] |
[a1,a2,a3,a4,a6] |
Generators |
[2:50:1] |
Generators of the group modulo torsion |
j |
14000/17 |
j-invariant |
L |
3.1878891323648 |
L(r)(E,1)/r! |
Ω |
0.9454836860386 |
Real period |
R |
0.56195031470833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3332d1 83300b1 |
Quadratic twists by: 5 -7 |