Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3276f |
Isogeny class |
Conductor |
3276 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-23471268912 = -1 · 24 · 311 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,456,-6347] |
[a1,a2,a3,a4,a6] |
Generators |
[39:266:1] |
Generators of the group modulo torsion |
j |
899022848/2012283 |
j-invariant |
L |
3.7410327990292 |
L(r)(E,1)/r! |
Ω |
0.62269456311913 |
Real period |
R |
3.0039067470656 |
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 |
13104cc1 52416cc1 1092e1 81900ba1 |
Quadratic twists by: -4 8 -3 5 |