Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
93060r |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
6868592255250000 = 24 · 37 · 56 · 112 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-938532,349939969] |
[a1,a2,a3,a4,a6] |
Generators |
[-1057:12690:1] |
Generators of the group modulo torsion |
j |
7838328411061141504/588871078125 |
j-invariant |
L |
5.7438386250987 |
L(r)(E,1)/r! |
Ω |
0.4004606811064 |
Real period |
R |
2.3905129325848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000355 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
31020j3 |
Quadratic twists by: -3 |