Atkin-Lehner |
2- 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
99540a |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1493100000000 = 28 · 33 · 58 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8223,-280922] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:30:1] [-49:66:1] |
Generators of the group modulo torsion |
j |
8896329369072/216015625 |
j-invariant |
L |
10.649857006005 |
L(r)(E,1)/r! |
Ω |
0.50209356535904 |
Real period |
R |
7.0703003981151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99540c2 |
Quadratic twists by: -3 |