Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224cu |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
513571145472 = 28 · 38 · 7 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4004,-92568] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:66:1] |
Generators of the group modulo torsion |
j |
27737953379152/2006137287 |
j-invariant |
L |
7.5484868339441 |
L(r)(E,1)/r! |
Ω |
0.60289871930321 |
Real period |
R |
1.5650404022697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17556c2 |
Quadratic twists by: -4 |