Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280y |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1320960000 = 214 · 3 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-305,-975] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:20:1] |
Generators of the group modulo torsion |
j |
192143824/80625 |
j-invariant |
L |
4.3725259188474 |
L(r)(E,1)/r! |
Ω |
1.1855824107072 |
Real period |
R |
0.92202066245219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280dj1 5160e1 123840ci1 |
Quadratic twists by: -4 8 -3 |