Atkin-Lehner |
2- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770bb |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
-20031200000 = -1 · 28 · 55 · 73 · 73 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -2 -4 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1392,21459] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:41:1] [37:121:1] |
Generators of the group modulo torsion |
j |
-869070026007/58400000 |
j-invariant |
L |
8.4062231117776 |
L(r)(E,1)/r! |
Ω |
1.1965853039397 |
Real period |
R |
0.087814707861811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35770z1 |
Quadratic twists by: -7 |