Atkin-Lehner |
2+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
32830b |
Isogeny class |
Conductor |
32830 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-1970620750 = -1 · 2 · 53 · 76 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 3 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,122,-2022] |
[a1,a2,a3,a4,a6] |
Generators |
[6846:197007:8] |
Generators of the group modulo torsion |
j |
1685159/16750 |
j-invariant |
L |
5.9346554327531 |
L(r)(E,1)/r! |
Ω |
0.72839281016369 |
Real period |
R |
8.1476029828185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
670b1 |
Quadratic twists by: -7 |