Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360gu |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
122080403128320 = 220 · 39 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-917985,-338839137] |
[a1,a2,a3,a4,a6] |
j |
326355561310674169/465699780 |
j-invariant |
L |
2.7762793050699 |
L(r)(E,1)/r! |
Ω |
0.15423774114121 |
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 |
87360bj1 21840be1 |
Quadratic twists by: -4 8 |