Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770a |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2699299212865920 = 27 · 38 · 5 · 73 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1173083,488541597] |
[a1,a2,a3,a4,a6] |
Generators |
[669:1596:1] |
Generators of the group modulo torsion |
j |
178529715976079010844729/2699299212865920 |
j-invariant |
L |
2.1861020827815 |
L(r)(E,1)/r! |
Ω |
0.41575313690641 |
Real period |
R |
5.2581733935867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160cm4 23310bp4 38850cw4 54390bb4 |
Quadratic twists by: -4 -3 5 -7 |