Atkin-Lehner |
2+ 3+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478v |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1179042606 = -1 · 2 · 32 · 73 · 192 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116,-1770] |
[a1,a2,a3,a4,a6] |
Generators |
[29:128:1] |
Generators of the group modulo torsion |
j |
-510082399/3437442 |
j-invariant |
L |
4.1742929351161 |
L(r)(E,1)/r! |
Ω |
0.64603067109285 |
Real period |
R |
1.6153617413821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128478bi2 |
Quadratic twists by: -7 |