Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gk |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[-49:336:1] |
Generators of the group modulo torsion |
j |
-1775007362/89578125 |
j-invariant |
L |
8.1067834391527 |
L(r)(E,1)/r! |
Ω |
0.59278776818713 |
Real period |
R |
1.7094616044604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360h2 21840i2 |
Quadratic twists by: -4 8 |