Atkin-Lehner |
2+ 3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142n |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.0299327363095E+30 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88786833408,-10182066669766656] |
[a1,a2,a3,a4,a6] |
Generators |
[-3110959251284821:-11316911726085305:18005329061] |
Generators of the group modulo torsion |
j |
106179795637493222287723845054431233/9643254782317606890236848128 |
j-invariant |
L |
4.01632190321 |
L(r)(E,1)/r! |
Ω |
0.0087461068668906 |
Real period |
R |
14.350391709852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21714m3 |
Quadratic twists by: -3 |