Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850dc |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-144293917968750 = -1 · 2 · 3 · 59 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5138,594642] |
[a1,a2,a3,a4,a6] |
Generators |
[-2316:55971:64] |
Generators of the group modulo torsion |
j |
-7680354317/73878486 |
j-invariant |
L |
10.570569410376 |
L(r)(E,1)/r! |
Ω |
0.49534120675721 |
Real period |
R |
5.3349939729345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47850w2 |
Quadratic twists by: 5 |