Atkin-Lehner |
2+ 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63240l |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1.469499975E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-613000,-10656352] |
[a1,a2,a3,a4,a6] |
Generators |
[-709:8250:1] |
Generators of the group modulo torsion |
j |
24877451459074068004/14350585693359375 |
j-invariant |
L |
10.660062142868 |
L(r)(E,1)/r! |
Ω |
0.18605753598835 |
Real period |
R |
2.3872682909849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997532 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126480e3 |
Quadratic twists by: -4 |