Atkin-Lehner |
2- 3+ 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590bh |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-867626640 = -1 · 24 · 39 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 2 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137,-1511] |
[a1,a2,a3,a4,a6] |
j |
-14348907/44080 |
j-invariant |
L |
5.1573618495158 |
L(r)(E,1)/r! |
Ω |
0.64467023112674 |
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 |
49590a1 |
Quadratic twists by: -3 |