Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770w |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-4.2831829169554E+20 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-181383,-996128129] |
[a1,a2,a3,a4,a6] |
Generators |
[33771:713900:27] |
Generators of the group modulo torsion |
j |
-16354182856887/10614126556160 |
j-invariant |
L |
13.813150765536 |
L(r)(E,1)/r! |
Ω |
0.075421922596491 |
Real period |
R |
9.1572518241383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35770bg1 |
Quadratic twists by: -7 |