Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360cf |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-984000000000000 = -1 · 215 · 3 · 512 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15585,1690017] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:760:1] [-71:1560:1] |
Generators of the group modulo torsion |
j |
-12776799006152/30029296875 |
j-invariant |
L |
7.4846027907246 |
L(r)(E,1)/r! |
Ω |
0.43813690775303 |
Real period |
R |
5.6942648582227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39360di3 19680j4 118080ep3 |
Quadratic twists by: -4 8 -3 |