Atkin-Lehner |
2- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
4150o |
Isogeny class |
Conductor |
4150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-3320000 = -1 · 26 · 54 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- -1 3 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,37,17] |
[a1,a2,a3,a4,a6] |
Generators |
[8:25:1] |
Generators of the group modulo torsion |
j |
8947775/5312 |
j-invariant |
L |
5.8582575239534 |
L(r)(E,1)/r! |
Ω |
1.5326644327407 |
Real period |
R |
1.9111350791503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33200bn1 37350z1 4150c1 |
Quadratic twists by: -4 -3 5 |