Atkin-Lehner |
2+ 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
1098b |
Isogeny class |
Conductor |
1098 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-2458957824 = -1 · 211 · 39 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 2 -2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,282,-1612] |
[a1,a2,a3,a4,a6] |
j |
125751501/124928 |
j-invariant |
L |
1.577115504932 |
L(r)(E,1)/r! |
Ω |
0.78855775246602 |
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 |
8784m1 35136d1 1098h1 27450bg1 |
Quadratic twists by: -4 8 -3 5 |