Atkin-Lehner |
2- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81700h |
Isogeny class |
Conductor |
81700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-6209200 = -1 · 24 · 52 · 192 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -5 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-152] |
[a1,a2,a3,a4,a6] |
Generators |
[7:3:1] [9:19:1] |
Generators of the group modulo torsion |
j |
-10240000/15523 |
j-invariant |
L |
6.6551086678659 |
L(r)(E,1)/r! |
Ω |
0.94275924543647 |
Real period |
R |
1.1765302577002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81700k1 |
Quadratic twists by: 5 |