Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574dd |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
44486506495716516 = 22 · 32 · 78 · 118 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97952,-6029220] |
[a1,a2,a3,a4,a6] |
Generators |
[-8352480:-46517445:32768] |
Generators of the group modulo torsion |
j |
498677257/213444 |
j-invariant |
L |
12.180755495294 |
L(r)(E,1)/r! |
Ω |
0.28049144468189 |
Real period |
R |
10.856619449755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106722dn2 5082r2 3234n2 |
Quadratic twists by: -3 -7 -11 |