Atkin-Lehner |
2- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
32830o |
Isogeny class |
Conductor |
32830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-18114734182300 = -1 · 22 · 52 · 79 · 672 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6565,6565] |
[a1,a2,a3,a4,a6] |
Generators |
[2015:89544:1] |
Generators of the group modulo torsion |
j |
265971760991/153972700 |
j-invariant |
L |
12.802854207569 |
L(r)(E,1)/r! |
Ω |
0.41296049137436 |
Real period |
R |
3.8753265975156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4690c1 |
Quadratic twists by: -7 |