Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280bu |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-63872064000000 = -1 · 212 · 36 · 56 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55452,5040704] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:2257:1] [178:900:1] |
Generators of the group modulo torsion |
j |
-6315211203904/21390625 |
j-invariant |
L |
9.5862153366055 |
L(r)(E,1)/r! |
Ω |
0.62367031560123 |
Real period |
R |
0.64044356294282 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53280bt2 106560fb1 5920b2 |
Quadratic twists by: -4 8 -3 |