Atkin-Lehner |
2+ 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280j |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
285434267040000 = 28 · 34 · 54 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39540,-2901888] |
[a1,a2,a3,a4,a6] |
Generators |
[309:3780:1] |
Generators of the group modulo torsion |
j |
26705746694352976/1114977605625 |
j-invariant |
L |
5.0788648818119 |
L(r)(E,1)/r! |
Ω |
0.33943556452566 |
Real period |
R |
3.7406693733874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999478 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29640x2 |
Quadratic twists by: -4 |