Atkin-Lehner |
2+ 5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850k |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
6185981986000000 = 27 · 56 · 313 · 473 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-288300,-59582000] |
[a1,a2,a3,a4,a6] |
Generators |
[-299:173:1] |
Generators of the group modulo torsion |
j |
169605513858025153/395902847104 |
j-invariant |
L |
4.4635771672276 |
L(r)(E,1)/r! |
Ω |
0.20606257061047 |
Real period |
R |
2.4068078792319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914f2 |
Quadratic twists by: 5 |