Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648cf |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
76876800 |
Modular degree for the optimal curve |
Δ |
-5.2687057143297E+27 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 6 -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,433348749,-374061184974] |
[a1,a2,a3,a4,a6] |
Generators |
[2004793:526757482:343] |
Generators of the group modulo torsion |
j |
3014039068081427225638287/1764478883453394378752 |
j-invariant |
L |
4.3375851016309 |
L(r)(E,1)/r! |
Ω |
0.025316553698535 |
Real period |
R |
3.893953302241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14706e1 13072j1 |
Quadratic twists by: -4 -3 |