Atkin-Lehner |
2+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760c |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
884705536000000 = 214 · 56 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30748,1502928] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:1716:1] [-34:1584:1] |
Generators of the group modulo torsion |
j |
196225023615696/53998140625 |
j-invariant |
L |
8.6740532063781 |
L(r)(E,1)/r! |
Ω |
0.46524593115258 |
Real period |
R |
4.6610043342505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45760bl2 5720c2 |
Quadratic twists by: -4 8 |