Atkin-Lehner |
2+ 3+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590a |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-1190160 = -1 · 24 · 33 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -2 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15,61] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-7:1] |
Generators of the group modulo torsion |
j |
-14348907/44080 |
j-invariant |
L |
4.763103242528 |
L(r)(E,1)/r! |
Ω |
2.4058649955413 |
Real period |
R |
0.49494706179916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49590bh1 |
Quadratic twists by: -3 |