Atkin-Lehner |
2- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
49640i |
Isogeny class |
Conductor |
49640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
216033280 = 211 · 5 · 172 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- -1 3 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3040,-63508] |
[a1,a2,a3,a4,a6] |
j |
1517600157122/105485 |
j-invariant |
L |
1.2858818350093 |
L(r)(E,1)/r! |
Ω |
0.64294091761074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99280h1 |
Quadratic twists by: -4 |