Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400dx |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10506240 |
Modular degree for the optimal curve |
Δ |
-9.5981912788465E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 -3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49785825,-136028469625] |
[a1,a2,a3,a4,a6] |
Generators |
[823269074767110305752931733770872370494834208990:1230245315492001068826481249556186381999858310730425:368669851866926770518940936383733126282469] |
Generators of the group modulo torsion |
j |
-74881286942075067136/526649727234375 |
j-invariant |
L |
8.6035997828743 |
L(r)(E,1)/r! |
Ω |
0.028406038772989 |
Real period |
R |
75.719813061856 |
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 |
26100q1 34800cc1 20880bu1 |
Quadratic twists by: -4 -3 5 |