Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bn |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
117872763494400 = 213 · 313 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3358947,-2369478814] |
[a1,a2,a3,a4,a6] |
j |
1403607530712116449/39475350 |
j-invariant |
L |
1.7843035939821 |
L(r)(E,1)/r! |
Ω |
0.11151897462388 |
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 |
1710i2 54720ec2 4560m2 68400ei2 |
Quadratic twists by: -4 8 -3 5 |