Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
29200u |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
29200 = 24 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 0 4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18,23] |
[a1,a2,a3,a4,a6] |
Generators |
[7:17:1] |
Generators of the group modulo torsion |
j |
1703680/73 |
j-invariant |
L |
7.4225241502899 |
L(r)(E,1)/r! |
Ω |
3.6910015382004 |
Real period |
R |
2.0109783411006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7300d1 116800cl1 29200ba1 |
Quadratic twists by: -4 8 5 |