Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360s |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1228351488000 = 214 · 3 · 53 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4401,100401] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:416:1] |
Generators of the group modulo torsion |
j |
575514878416/74972625 |
j-invariant |
L |
4.3588801462752 |
L(r)(E,1)/r! |
Ω |
0.83172456680357 |
Real period |
R |
1.3101933991024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fz1 10920i1 |
Quadratic twists by: -4 8 |