Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270u |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-1273871162880000 = -1 · 212 · 311 · 54 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 4 -2 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28043,2490806] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1432:1] |
Generators of the group modulo torsion |
j |
-868206687025969/453496320000 |
j-invariant |
L |
7.5102140437616 |
L(r)(E,1)/r! |
Ω |
0.45031925685489 |
Real period |
R |
0.18951741478852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84270z1 |
Quadratic twists by: 53 |