Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710be |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-26361595673437500 = -1 · 22 · 310 · 58 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19822,-7742419] |
[a1,a2,a3,a4,a6] |
j |
1181569139409959/36161310937500 |
j-invariant |
L |
3.6273850367926 |
L(r)(E,1)/r! |
Ω |
0.18136925183963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680dw1 3570q1 53550bi1 74970ed1 |
Quadratic twists by: -4 -3 5 -7 |