Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gc |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-60532332134400 = -1 · 215 · 34 · 52 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3135,-367137] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1647:1] |
Generators of the group modulo torsion |
j |
103955596408/1847300175 |
j-invariant |
L |
10.073298395042 |
L(r)(E,1)/r! |
Ω |
0.3039535154091 |
Real period |
R |
4.1426146863888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019593 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680eq3 63840bd2 |
Quadratic twists by: -4 8 |