Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360s |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8736000000000000 = -1 · 217 · 3 · 512 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25759,-4214559] |
[a1,a2,a3,a4,a6] |
Generators |
[255:4344:1] |
Generators of the group modulo torsion |
j |
14420619677518/66650390625 |
j-invariant |
L |
4.3588801462752 |
L(r)(E,1)/r! |
Ω |
0.20793114170089 |
Real period |
R |
5.2407735964094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999973259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fz3 10920i4 |
Quadratic twists by: -4 8 |