Atkin-Lehner |
2- 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bn |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-295230873600 = -1 · 213 · 34 · 52 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1664,-1664] |
[a1,a2,a3,a4,a6] |
Generators |
[10:126:1] |
Generators of the group modulo torsion |
j |
124326214271/72077850 |
j-invariant |
L |
4.6822010834956 |
L(r)(E,1)/r! |
Ω |
0.57729441618507 |
Real period |
R |
2.0276486763376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bi2 |
Quadratic twists by: -4 |