Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728be |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-25460736 = -1 · 215 · 3 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,129] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
830584/777 |
j-invariant |
L |
4.1800464973819 |
L(r)(E,1)/r! |
Ω |
1.3886060630508 |
Real period |
R |
1.5051232342339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728bz1 24864z1 |
Quadratic twists by: -4 8 |