Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890ff |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-502904144332831500 = -1 · 22 · 320 · 53 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,84757,-32791993] |
[a1,a2,a3,a4,a6] |
Generators |
[6878:204407:8] |
Generators of the group modulo torsion |
j |
269298290468033/2011238464500 |
j-invariant |
L |
9.7932912655614 |
L(r)(E,1)/r! |
Ω |
0.14621986953397 |
Real period |
R |
8.3720592632688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999590687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630bu2 127890gl2 |
Quadratic twists by: -3 -7 |