Atkin-Lehner |
2+ 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9338c |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
150871003136 = 212 · 74 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-633491,-193911883] |
[a1,a2,a3,a4,a6] |
Generators |
[4411:285582:1] |
Generators of the group modulo torsion |
j |
28115476317271727409033/150871003136 |
j-invariant |
L |
3.6983952232123 |
L(r)(E,1)/r! |
Ω |
0.16922495620345 |
Real period |
R |
5.4637260753164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74704f2 84042bs2 65366j2 |
Quadratic twists by: -4 -3 -7 |