Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bc |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
661374315 = 36 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1710,27621] |
[a1,a2,a3,a4,a6] |
j |
2212245127/2645 |
j-invariant |
L |
3.2225937244994 |
L(r)(E,1)/r! |
Ω |
1.6112968624734 |
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 |
5635e2 50715br2 |
Quadratic twists by: -3 -7 |