Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120bt |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-13249600 = -1 · 26 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44,150] |
[a1,a2,a3,a4,a6] |
Generators |
[1:14:1] |
Generators of the group modulo torsion |
j |
143877824/207025 |
j-invariant |
L |
3.747039127932 |
L(r)(E,1)/r! |
Ω |
1.5165612228773 |
Real period |
R |
1.2353735119321 |
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 |
29120bk1 14560i2 |
Quadratic twists by: -4 8 |