Atkin-Lehner |
2+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
39760g |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-628548981760 = -1 · 210 · 5 · 73 · 713 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -1 -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3827,98786] |
[a1,a2,a3,a4,a6] |
Generators |
[91:710:1] |
Generators of the group modulo torsion |
j |
-6053396790564/613817365 |
j-invariant |
L |
5.5233397864198 |
L(r)(E,1)/r! |
Ω |
0.89017810533088 |
Real period |
R |
1.0341263456792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19880d1 |
Quadratic twists by: -4 |