Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
49440f |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
112000 |
Modular degree for the optimal curve |
Δ |
15643125000000 = 26 · 35 · 510 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32330,-2240172] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:90:1] |
Generators of the group modulo torsion |
j |
58394814756497344/244423828125 |
j-invariant |
L |
8.1755821000099 |
L(r)(E,1)/r! |
Ω |
0.35612820368058 |
Real period |
R |
0.9182740390109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49440b1 98880bd2 |
Quadratic twists by: -4 8 |