Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fs |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30527078400 = 214 · 32 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-785,-783] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:84:1] |
Generators of the group modulo torsion |
j |
3269383504/1863225 |
j-invariant |
L |
4.9805719701393 |
L(r)(E,1)/r! |
Ω |
0.97547391685021 |
Real period |
R |
1.2764492932787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000061 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360de2 21840p2 |
Quadratic twists by: -4 8 |