Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360ds |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
20803910400000000 = 214 · 36 · 58 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72625,2907023] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:2520:1] |
Generators of the group modulo torsion |
j |
2585640781499344/1269769921875 |
j-invariant |
L |
8.424883910604 |
L(r)(E,1)/r! |
Ω |
0.34046933925906 |
Real period |
R |
0.17183966803215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fe2 5460a2 |
Quadratic twists by: -4 8 |