Atkin-Lehner |
3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20295k |
Isogeny class |
Conductor |
20295 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
989142581964425625 = 312 · 54 · 116 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-249143,1245606] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:6147:1] |
Generators of the group modulo torsion |
j |
2346068121930775081/1356848534930625 |
j-invariant |
L |
2.1158826769294 |
L(r)(E,1)/r! |
Ω |
0.23550103239934 |
Real period |
R |
4.4923002149337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6765c2 101475bk2 |
Quadratic twists by: -3 5 |