Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360n |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12765081600 = 212 · 38 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,-5344] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:36:1] |
Generators of the group modulo torsion |
j |
14526784/4275 |
j-invariant |
L |
5.5942364485955 |
L(r)(E,1)/r! |
Ω |
0.93860310429243 |
Real period |
R |
1.4900431351153 |
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 |
27360bf2 54720bk1 9120m2 |
Quadratic twists by: -4 8 -3 |