Atkin-Lehner |
2+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400bk |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-1196062492590080000 = -1 · 239 · 54 · 592 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 -3 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103233,54179137] |
[a1,a2,a3,a4,a6] |
Generators |
[1041:32768:1] |
Generators of the group modulo torsion |
j |
-742614841825/7300186112 |
j-invariant |
L |
2.6572602495572 |
L(r)(E,1)/r! |
Ω |
0.23342789292455 |
Real period |
R |
1.4229556183786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400de1 2950s1 94400r1 |
Quadratic twists by: -4 8 5 |