Atkin-Lehner |
2+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58016i |
Isogeny class |
Conductor |
58016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
109208390144 = 29 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 0 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19224,1019416] |
[a1,a2,a3,a4,a6] |
Generators |
[30:686:1] [95:244:1] |
Generators of the group modulo torsion |
j |
13044257864/1813 |
j-invariant |
L |
6.2939319281282 |
L(r)(E,1)/r! |
Ω |
1.0188467069711 |
Real period |
R |
3.0887531387494 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58016e2 116032bo2 8288e2 |
Quadratic twists by: -4 8 -7 |