Atkin-Lehner |
2- 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590bf |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
364 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
77998325760000000 = 226 · 33 · 57 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2698622,1706944269] |
[a1,a2,a3,a4,a6] |
Generators |
[977:1011:1] |
Generators of the group modulo torsion |
j |
80498162446106104857123/2888826880000000 |
j-invariant |
L |
8.6180274838686 |
L(r)(E,1)/r! |
Ω |
0.32137981311946 |
Real period |
R |
0.29467811871682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590d1 |
Quadratic twists by: -3 |