Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7140q |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1456560 = -1 · 24 · 32 · 5 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-60] |
[a1,a2,a3,a4,a6] |
j |
-1048576/91035 |
j-invariant |
L |
3.5674103297013 |
L(r)(E,1)/r! |
Ω |
1.1891367765671 |
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 |
28560ct1 114240bd1 21420m1 35700b1 |
Quadratic twists by: -4 8 -3 5 |