Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360s |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
76317696000000 = 216 · 32 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17921,-816255] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:312:1] |
Generators of the group modulo torsion |
j |
9713030100484/1164515625 |
j-invariant |
L |
4.3588801462752 |
L(r)(E,1)/r! |
Ω |
0.41586228340178 |
Real period |
R |
2.6203867982047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933147 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360fz2 10920i2 |
Quadratic twists by: -4 8 |