Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770a |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5343633392025600 = 214 · 34 · 52 · 76 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75483,7134237] |
[a1,a2,a3,a4,a6] |
Generators |
[29:2215:1] |
Generators of the group modulo torsion |
j |
47564195924660918329/5343633392025600 |
j-invariant |
L |
2.1861020827815 |
L(r)(E,1)/r! |
Ω |
0.41575313690641 |
Real period |
R |
2.6290866967934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62160cm2 23310bp2 38850cw2 54390bb2 |
Quadratic twists by: -4 -3 5 -7 |