Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
87840y |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-105408000 = -1 · 29 · 33 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -4 -7 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117,82] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] |
Generators of the group modulo torsion |
j |
12812904/7625 |
j-invariant |
L |
4.4790372993219 |
L(r)(E,1)/r! |
Ω |
1.1500854743687 |
Real period |
R |
1.9472627908072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840ba1 87840e1 |
Quadratic twists by: -4 -3 |