Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810h |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-465315534708756480 = -1 · 212 · 32 · 5 · 72 · 616 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9922,-32816464] |
[a1,a2,a3,a4,a6] |
Generators |
[357:3853:1] |
Generators of the group modulo torsion |
j |
108039931290665639/465315534708756480 |
j-invariant |
L |
4.5696946186353 |
L(r)(E,1)/r! |
Ω |
0.13707711286275 |
Real period |
R |
2.7780559200103 |
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 |
102480bl4 38430bm4 64050br4 89670a4 |
Quadratic twists by: -4 -3 5 -7 |