Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715b |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5628618835751953125 = -1 · 33 · 510 · 79 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48795,114057950] |
[a1,a2,a3,a4,a6] |
j |
4044759171237/1771943359375 |
j-invariant |
L |
0.74773830028943 |
L(r)(E,1)/r! |
Ω |
0.18693457516791 |
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 |
50715g2 7245f2 |
Quadratic twists by: -3 -7 |