Atkin-Lehner |
3- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
49203f |
Isogeny class |
Conductor |
49203 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-212667223923 = -1 · 38 · 73 · 113 · 71 |
Discriminant |
Eigenvalues |
2 3- -2 7- 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21531,-1216233] |
[a1,a2,a3,a4,a6] |
Generators |
[1858:20093:8] |
Generators of the group modulo torsion |
j |
-1514219332538368/291724587 |
j-invariant |
L |
11.175499377973 |
L(r)(E,1)/r! |
Ω |
0.19706000487716 |
Real period |
R |
3.1506194112759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16401e1 |
Quadratic twists by: -3 |