Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6650h |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
651700 = 22 · 52 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 5 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22,16] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] |
Generators of the group modulo torsion |
j |
48317985/26068 |
j-invariant |
L |
2.1182116998042 |
L(r)(E,1)/r! |
Ω |
2.5130821265061 |
Real period |
R |
0.14047900766041 |
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 |
53200bn1 59850fs1 6650be1 46550p1 |
Quadratic twists by: -4 -3 5 -7 |