Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46728h |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
124294348802460672 = 210 · 39 · 116 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-240771,-42191026] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:1188:1] |
Generators of the group modulo torsion |
j |
2067801074938372/166503703707 |
j-invariant |
L |
4.3475677454648 |
L(r)(E,1)/r! |
Ω |
0.21662705645441 |
Real period |
R |
1.6724471912759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456k2 15576f2 |
Quadratic twists by: -4 -3 |