Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360by |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5563560038400 = 212 · 38 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9961,362135] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-936:1] [-73:840:1] |
Generators of the group modulo torsion |
j |
26688009479104/1358291025 |
j-invariant |
L |
11.819050131222 |
L(r)(E,1)/r! |
Ω |
0.7512718872551 |
Real period |
R |
0.98325339435558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999646 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360p2 43680bl1 |
Quadratic twists by: -4 8 |