Atkin-Lehner |
2+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4930a |
Isogeny class |
Conductor |
4930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-890481250000 = -1 · 24 · 58 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 4 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2420,-63904] |
[a1,a2,a3,a4,a6] |
j |
-1567728136054809/890481250000 |
j-invariant |
L |
1.3264967856796 |
L(r)(E,1)/r! |
Ω |
0.3316241964199 |
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 |
39440c1 44370bt1 24650bh1 83810h1 |
Quadratic twists by: -4 -3 5 17 |