Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104n |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3911153168384 = 212 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5969,-147871] |
[a1,a2,a3,a4,a6] |
Generators |
[97:420:1] |
Generators of the group modulo torsion |
j |
3241792/539 |
j-invariant |
L |
6.0500076065893 |
L(r)(E,1)/r! |
Ω |
0.54928260999132 |
Real period |
R |
2.7535950968322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27104i2 54208r1 2464f2 |
Quadratic twists by: -4 8 -11 |