Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140m |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-18837360 = -1 · 24 · 36 · 5 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 2 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] |
Generators of the group modulo torsion |
j |
2370816/1615 |
j-invariant |
L |
8.7289743748566 |
L(r)(E,1)/r! |
Ω |
1.3702191501909 |
Real period |
R |
1.0617491824165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6460c1 |
Quadratic twists by: -3 |