Atkin-Lehner |
2- 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
47400x |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.8339677207908E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-583114208,5419768274412] |
[a1,a2,a3,a4,a6] |
j |
5481817738903906822042/195849193019769 |
j-invariant |
L |
1.509215473763 |
L(r)(E,1)/r! |
Ω |
0.08384530411561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94800w2 47400k2 |
Quadratic twists by: -4 5 |