Atkin-Lehner |
2+ 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
1494a |
Isogeny class |
Conductor |
1494 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-1672897536 = -1 · 210 · 39 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 1 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69,-1963] |
[a1,a2,a3,a4,a6] |
Generators |
[58:403:1] |
Generators of the group modulo torsion |
j |
-1860867/84992 |
j-invariant |
L |
2.1281527891854 |
L(r)(E,1)/r! |
Ω |
0.65504331084445 |
Real period |
R |
0.81221835028049 |
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 |
11952i1 47808d1 1494b1 37350bf1 |
Quadratic twists by: -4 8 -3 5 |