Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29328o |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
30752636928 = 224 · 3 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-952,-7852] |
[a1,a2,a3,a4,a6] |
Generators |
[-79815:150742:3375] |
Generators of the group modulo torsion |
j |
23320116793/7507968 |
j-invariant |
L |
7.8097460966807 |
L(r)(E,1)/r! |
Ω |
0.88135391611021 |
Real period |
R |
8.861078340865 |
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 |
3666a1 117312ce1 87984bg1 |
Quadratic twists by: -4 8 -3 |