Atkin-Lehner |
2+ 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450f |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1872000 |
Modular degree for the optimal curve |
Δ |
-498674880000000000 = -1 · 215 · 35 · 510 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72825,34777125] |
[a1,a2,a3,a4,a6] |
j |
-4373956571425/51064307712 |
j-invariant |
L |
2.0011870424341 |
L(r)(E,1)/r! |
Ω |
0.25014839755259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450cl1 |
Quadratic twists by: 5 |