Atkin-Lehner |
2+ 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838a |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
1428034274647344 = 24 · 35 · 78 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -5 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28347,-274707] |
[a1,a2,a3,a4,a6] |
j |
437003224441/247716144 |
j-invariant |
L |
0.79409159369847 |
L(r)(E,1)/r! |
Ω |
0.39704606068994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110838bg1 |
Quadratic twists by: -7 |