Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fn |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
74290697994240 = 217 · 34 · 5 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3387105,2400465537] |
[a1,a2,a3,a4,a6] |
Generators |
[-1043:69264:1] |
Generators of the group modulo torsion |
j |
32786865108064062578/566793045 |
j-invariant |
L |
6.8370826735335 |
L(r)(E,1)/r! |
Ω |
0.43891689678438 |
Real period |
R |
3.8942922495979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942571 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360cy4 21840o4 |
Quadratic twists by: -4 8 |