Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960r |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
6.6382647153985E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10687000,-5208312500] |
[a1,a2,a3,a4,a6] |
Generators |
[-975:65450:1] [4125:144500:1] |
Generators of the group modulo torsion |
j |
192161822313144368414/94499714083546875 |
j-invariant |
L |
10.672846757949 |
L(r)(E,1)/r! |
Ω |
0.087791512401389 |
Real period |
R |
4.052345709748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960bd2 |
Quadratic twists by: -7 |