Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360bb |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4395899289600 = 218 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17505,-879903] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:45:1] |
Generators of the group modulo torsion |
j |
2263054145689/16769025 |
j-invariant |
L |
4.5854634404923 |
L(r)(E,1)/r! |
Ω |
0.41524169533342 |
Real period |
R |
2.7607195402576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815625 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360hi2 1365c2 |
Quadratic twists by: -4 8 |