Atkin-Lehner |
2+ 3+ 5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71370a |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
294765947776684800 = 28 · 39 · 52 · 132 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-894390,324739700] |
[a1,a2,a3,a4,a6] |
Generators |
[460:3010:1] |
Generators of the group modulo torsion |
j |
4019883779577349683/14975661625600 |
j-invariant |
L |
5.1690344181028 |
L(r)(E,1)/r! |
Ω |
0.30885911884352 |
Real period |
R |
2.0919871323775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71370s2 |
Quadratic twists by: -3 |