Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762m |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1649009664 = -1 · 210 · 36 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 -4 1 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-978,-11692] |
[a1,a2,a3,a4,a6] |
Generators |
[436:8854:1] |
Generators of the group modulo torsion |
j |
-64278657/1024 |
j-invariant |
L |
5.6055524496553 |
L(r)(E,1)/r! |
Ω |
0.42643519412676 |
Real period |
R |
3.2862862439918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4418c1 39762n1 |
Quadratic twists by: -3 -47 |