Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360h |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11741184000000 = -1 · 217 · 32 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1281,-165375] |
[a1,a2,a3,a4,a6] |
j |
-1775007362/89578125 |
j-invariant |
L |
1.2545351248968 |
L(r)(E,1)/r! |
Ω |
0.31363378024514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gk2 10920s2 |
Quadratic twists by: -4 8 |