Atkin-Lehner |
2- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670r |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1375916339200 = -1 · 212 · 52 · 132 · 433 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1459,-52079] |
[a1,a2,a3,a4,a6] |
Generators |
[226:3327:1] |
Generators of the group modulo torsion |
j |
2032283442839/8141516800 |
j-invariant |
L |
5.9196095758666 |
L(r)(E,1)/r! |
Ω |
0.43342045744999 |
Real period |
R |
0.18969293733898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72670k2 |
Quadratic twists by: 13 |