Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728dg |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1629487104 = -1 · 221 · 3 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 2 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,-3999] |
[a1,a2,a3,a4,a6] |
Generators |
[3320:5737:125] |
Generators of the group modulo torsion |
j |
-38272753/6216 |
j-invariant |
L |
7.0687065470785 |
L(r)(E,1)/r! |
Ω |
0.51389385126571 |
Real period |
R |
6.8775940105854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728cm1 12432bp1 |
Quadratic twists by: -4 8 |