Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400f |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1776390750000 = -1 · 24 · 39 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4050,-118125] |
[a1,a2,a3,a4,a6] |
j |
-1492992/361 |
j-invariant |
L |
0.59091411803017 |
L(r)(E,1)/r! |
Ω |
0.29545706572783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200bt1 68400e1 2736d1 |
Quadratic twists by: -4 -3 5 |