Atkin-Lehner |
7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32851j |
Isogeny class |
Conductor |
32851 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27000 |
Modular degree for the optimal curve |
Δ |
-4281175171 = -1 · 7 · 13 · 196 |
Discriminant |
Eigenvalues |
2 0 -3 7+ -6 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,361,-1715] |
[a1,a2,a3,a4,a6] |
Generators |
[12866:515997:8] |
Generators of the group modulo torsion |
j |
110592/91 |
j-invariant |
L |
6.7206407648004 |
L(r)(E,1)/r! |
Ω |
0.76591241691884 |
Real period |
R |
8.7746857425767 |
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 |
91a1 |
Quadratic twists by: -19 |