Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
1098d |
Isogeny class |
Conductor |
1098 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-1600884 = -1 · 22 · 38 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 1 -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1845,30969] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-3:1] |
Generators of the group modulo torsion |
j |
-953054410321/2196 |
j-invariant |
L |
1.87411887912 |
L(r)(E,1)/r! |
Ω |
2.3057517700716 |
Real period |
R |
0.20320041639411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8784u1 35136i1 366a1 27450bt1 |
Quadratic twists by: -4 8 -3 5 |