Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ch |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
168398144874086400 = 217 · 32 · 52 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-306881,-62486625] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:1644:1] |
Generators of the group modulo torsion |
j |
24385137179326562/1284775885575 |
j-invariant |
L |
8.3219193236228 |
L(r)(E,1)/r! |
Ω |
0.20350639524019 |
Real period |
R |
5.1115834187162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ea6 10920n5 |
Quadratic twists by: -4 8 |