Atkin-Lehner |
2- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35770x |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
166320 |
Modular degree for the optimal curve |
Δ |
343535080000000 = 29 · 57 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19846,600676] |
[a1,a2,a3,a4,a6] |
j |
7347774183121/2920000000 |
j-invariant |
L |
4.4151585188303 |
L(r)(E,1)/r! |
Ω |
0.49057316875773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730j1 |
Quadratic twists by: -7 |