Atkin-Lehner |
3- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705x |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2984342200875 = -1 · 38 · 53 · 73 · 1032 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3450,29007] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-492:1] [-3:138:1] |
Generators of the group modulo torsion |
j |
13239726374393/8700706125 |
j-invariant |
L |
8.527282443333 |
L(r)(E,1)/r! |
Ω |
0.50202586274156 |
Real period |
R |
0.70773930490258 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705f2 |
Quadratic twists by: -7 |