Atkin-Lehner |
2- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
50470n |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-28122114742531250 = -1 · 2 · 56 · 77 · 1033 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 6 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10975,-8051583] |
[a1,a2,a3,a4,a6] |
j |
1242643594751/239034031250 |
j-invariant |
L |
4.2309929200654 |
L(r)(E,1)/r! |
Ω |
0.17629137167136 |
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 |
7210g2 |
Quadratic twists by: -7 |