Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360cb |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
50519443462225920 = 216 · 33 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118721,-11483361] |
[a1,a2,a3,a4,a6] |
Generators |
[397:2028:1] |
Generators of the group modulo torsion |
j |
2823774927583684/770865531345 |
j-invariant |
L |
6.9054001914072 |
L(r)(E,1)/r! |
Ω |
0.26247050818812 |
Real period |
R |
1.0962184281991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360er4 10920e3 |
Quadratic twists by: -4 8 |