Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cv |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
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 |
[3:-168:1] |
Generators of the group modulo torsion |
j |
-1184287112/11609325 |
j-invariant |
L |
8.5446276873069 |
L(r)(E,1)/r! |
Ω |
0.81215303319746 |
Real period |
R |
0.43837323619317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bi2 43680bd2 |
Quadratic twists by: -4 8 |