Atkin-Lehner |
2- 3+ 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
62730v |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
37638000 = 24 · 33 · 53 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107,331] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-16:1] |
Generators of the group modulo torsion |
j |
4973940243/1394000 |
j-invariant |
L |
8.9828226012738 |
L(r)(E,1)/r! |
Ω |
1.9120002334756 |
Real period |
R |
0.19575535006278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62730b1 |
Quadratic twists by: -3 |