Atkin-Lehner |
2+ 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29736b |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5600127906498779136 = -1 · 211 · 33 · 74 · 596 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,101949,113164830] |
[a1,a2,a3,a4,a6] |
Generators |
[547382:-19949396:1331] |
Generators of the group modulo torsion |
j |
2119233967546698/101275461272041 |
j-invariant |
L |
4.2418180257755 |
L(r)(E,1)/r! |
Ω |
0.18258387211965 |
Real period |
R |
11.616080808593 |
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 |
59472h2 29736k2 |
Quadratic twists by: -4 -3 |