Atkin-Lehner |
2+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760c |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-73507126730752000 = -1 · 216 · 53 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,79252,9818928] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1664:1] [216:6084:1] |
Generators of the group modulo torsion |
j |
839990692886076/1121629741375 |
j-invariant |
L |
8.6740532063781 |
L(r)(E,1)/r! |
Ω |
0.23262296557629 |
Real period |
R |
4.6610043342505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45760bl3 5720c4 |
Quadratic twists by: -4 8 |