Atkin-Lehner |
2+ 3- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266p |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-53968144104 = -1 · 23 · 37 · 73 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-540,12312] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-105:1] |
Generators of the group modulo torsion |
j |
-23912763841/74030376 |
j-invariant |
L |
3.520550803936 |
L(r)(E,1)/r! |
Ω |
0.98430482577879 |
Real period |
R |
0.89417188449441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422t1 |
Quadratic twists by: -3 |