Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cw |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
5041207202311098 = 2 · 37 · 79 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 5 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-501173,136477431] |
[a1,a2,a3,a4,a6] |
j |
12079000375/4374 |
j-invariant |
L |
5.929684672895 |
L(r)(E,1)/r! |
Ω |
0.42354890525948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686bz1 49686be2 |
Quadratic twists by: -7 13 |