Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150ct |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
948724700625000000 = 26 · 38 · 510 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-515838,134636292] |
[a1,a2,a3,a4,a6] |
Generators |
[-408:16854:1] |
Generators of the group modulo torsion |
j |
971502079592987929/60718380840000 |
j-invariant |
L |
11.864007545787 |
L(r)(E,1)/r! |
Ω |
0.27415724380291 |
Real period |
R |
0.90155131561979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000135 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430d2 |
Quadratic twists by: 5 |