Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6370z |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-1718999092428800 = -1 · 217 · 52 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -5 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9605,-2028223] |
[a1,a2,a3,a4,a6] |
Generators |
[914:26983:1] |
Generators of the group modulo torsion |
j |
-832972004929/14611251200 |
j-invariant |
L |
6.9341057196801 |
L(r)(E,1)/r! |
Ω |
0.20299685157479 |
Real period |
R |
0.25116680910418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50960cc1 57330bu1 31850l1 910h1 |
Quadratic twists by: -4 -3 5 -7 |