Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330eg |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
Δ |
564380048305382400 = 210 · 38 · 52 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2385158,1417964181] |
[a1,a2,a3,a4,a6] |
Generators |
[1025:-7533:1] |
Generators of the group modulo torsion |
j |
17496824387403529/6580454400 |
j-invariant |
L |
8.5514806010465 |
L(r)(E,1)/r! |
Ω |
0.28602946009653 |
Real period |
R |
0.37371502737465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000295 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19110n2 1170n2 |
Quadratic twists by: -3 -7 |