Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ga |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-339830636544000 = -1 · 221 · 33 · 53 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1036705,405940703] |
[a1,a2,a3,a4,a6] |
Generators |
[71:18240:1] |
Generators of the group modulo torsion |
j |
-470056203380406889/1296351000 |
j-invariant |
L |
9.3092795617991 |
L(r)(E,1)/r! |
Ω |
0.46931692528242 |
Real period |
R |
0.18366486924424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000146585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680bj2 31920s2 |
Quadratic twists by: -4 8 |