Atkin-Lehner |
2- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3472d |
Isogeny class |
Conductor |
3472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-455081984 = -1 · 221 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64,-1024] |
[a1,a2,a3,a4,a6] |
j |
-7189057/111104 |
j-invariant |
L |
1.4301346805384 |
L(r)(E,1)/r! |
Ω |
0.7150673402692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
434b1 13888m1 31248bl1 86800bq1 |
Quadratic twists by: -4 8 -3 5 |