Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200bg |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1143188640000000000 = 214 · 310 · 510 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-565408,155533312] |
[a1,a2,a3,a4,a6] |
j |
312341975961049/17862322500 |
j-invariant |
L |
1.0817447586256 |
L(r)(E,1)/r! |
Ω |
0.27043618965639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1650q2 52800gq2 39600dq2 2640r2 |
Quadratic twists by: -4 8 -3 5 |