Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46644h |
Isogeny class |
Conductor |
46644 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
43227202367232 = 28 · 32 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-187308,-31138056] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:38:1] |
Generators of the group modulo torsion |
j |
588159250000/34983 |
j-invariant |
L |
4.0241737878615 |
L(r)(E,1)/r! |
Ω |
0.22948897686321 |
Real period |
R |
2.9225614252806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588c2 |
Quadratic twists by: 13 |