Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998d |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-2650525925376 = -1 · 219 · 3 · 73 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -1 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3392,-110592] |
[a1,a2,a3,a4,a6] |
j |
-12589171852447/7727480832 |
j-invariant |
L |
0.60856251912547 |
L(r)(E,1)/r! |
Ω |
0.30428125956274 |
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 |
39984da1 14994cx1 124950id1 4998t1 |
Quadratic twists by: -4 -3 5 -7 |