Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104bg |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-47645562096 = -1 · 24 · 38 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11+ -2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,-10501] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1089:1] |
Generators of the group modulo torsion |
j |
1257728/4084839 |
j-invariant |
L |
2.7119991048965 |
L(r)(E,1)/r! |
Ω |
0.52464190029704 |
Real period |
R |
1.2923096226976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12276g1 16368r1 |
Quadratic twists by: -4 -3 |