Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
27060j |
Isogeny class |
Conductor |
27060 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-285753600 = -1 · 28 · 32 · 52 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,164,164] |
[a1,a2,a3,a4,a6] |
Generators |
[4:30:1] |
Generators of the group modulo torsion |
j |
1893932336/1116225 |
j-invariant |
L |
6.3648176495489 |
L(r)(E,1)/r! |
Ω |
1.0538636741808 |
Real period |
R |
1.0065845968323 |
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 |
108240t2 81180j2 |
Quadratic twists by: -4 -3 |