Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240cc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-2.48486805504E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14888575,-9292637823] |
[a1,a2,a3,a4,a6] |
Generators |
[1859:157500:1] |
Generators of the group modulo torsion |
j |
1392333139184610040991/947901937500000000 |
j-invariant |
L |
6.644115770535 |
L(r)(E,1)/r! |
Ω |
0.055904284705907 |
Real period |
R |
1.6506675004575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jp3 3570v3 |
Quadratic twists by: -4 8 |