Atkin-Lehner |
2+ 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
49640b |
Isogeny class |
Conductor |
49640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
780288 |
Modular degree for the optimal curve |
Δ |
62433617920 = 211 · 5 · 174 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -5 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12370600,16751017772] |
[a1,a2,a3,a4,a6] |
j |
102227111089824482110802/30485165 |
j-invariant |
L |
0.91603621545656 |
L(r)(E,1)/r! |
Ω |
0.45801810781751 |
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 |
99280e1 |
Quadratic twists by: -4 |