Atkin-Lehner |
2+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38870r |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-234359357440 = -1 · 219 · 5 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 -3 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,23,23301] |
[a1,a2,a3,a4,a6] |
Generators |
[45:321:1] |
Generators of the group modulo torsion |
j |
7433231/1386741760 |
j-invariant |
L |
6.6288788008113 |
L(r)(E,1)/r! |
Ω |
0.78492909913815 |
Real period |
R |
4.2225971798527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38870bb1 |
Quadratic twists by: 13 |