Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49504s |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
847479220638622208 = 29 · 74 · 134 · 176 |
Discriminant |
Eigenvalues |
2- -2 4 7- 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-384896,-80662328] |
[a1,a2,a3,a4,a6] |
j |
12316436518265478152/1655232852809809 |
j-invariant |
L |
3.094058360458 |
L(r)(E,1)/r! |
Ω |
0.19337864757287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49504k2 99008cq2 |
Quadratic twists by: -4 8 |