Atkin-Lehner |
2+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
107440f |
Isogeny class |
Conductor |
107440 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42880 |
Modular degree for the optimal curve |
Δ |
-1074400000 = -1 · 28 · 55 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,199,-1085] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19:1] |
Generators of the group modulo torsion |
j |
3387339776/4196875 |
j-invariant |
L |
2.3818097274693 |
L(r)(E,1)/r! |
Ω |
0.831436696333 |
Real period |
R |
2.8646916052986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53720a1 |
Quadratic twists by: -4 |