Atkin-Lehner |
2- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38710y |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-8455618850 = -1 · 2 · 52 · 73 · 793 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -1 1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-631,-7589] |
[a1,a2,a3,a4,a6] |
Generators |
[678:5591:8] |
Generators of the group modulo torsion |
j |
-81014113783/24651950 |
j-invariant |
L |
9.7286008935013 |
L(r)(E,1)/r! |
Ω |
0.46894873712523 |
Real period |
R |
5.1863882570288 |
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 |
38710bh1 |
Quadratic twists by: -7 |