Atkin-Lehner |
2+ 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056g |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-237359187827712 = -1 · 210 · 310 · 174 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1221,-741062] |
[a1,a2,a3,a4,a6] |
Generators |
[449:9504:1] |
Generators of the group modulo torsion |
j |
269676572/317964447 |
j-invariant |
L |
8.4825759534159 |
L(r)(E,1)/r! |
Ω |
0.25919520817852 |
Real period |
R |
4.0908240323845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57528b3 38352g3 |
Quadratic twists by: -4 -3 |