Atkin-Lehner |
2- 3+ 5- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71370s |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
404342863891200 = 28 · 33 · 52 · 132 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99377,-11994271] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:286:1] |
Generators of the group modulo torsion |
j |
4019883779577349683/14975661625600 |
j-invariant |
L |
11.3806339545 |
L(r)(E,1)/r! |
Ω |
0.2689525897465 |
Real period |
R |
1.322332725671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71370a2 |
Quadratic twists by: -3 |