Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bi |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-380414361600 = -1 · 215 · 36 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-705,-30303] |
[a1,a2,a3,a4,a6] |
Generators |
[53:280:1] |
Generators of the group modulo torsion |
j |
-1184287112/11609325 |
j-invariant |
L |
5.7691596181509 |
L(r)(E,1)/r! |
Ω |
0.40354311827439 |
Real period |
R |
1.7870332068843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cv2 43680s2 |
Quadratic twists by: -4 8 |