Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29328n |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1406908520828928 = -1 · 212 · 39 · 135 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -5 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3014448,-2015471340] |
[a1,a2,a3,a4,a6] |
Generators |
[2412:68934:1] |
Generators of the group modulo torsion |
j |
-739583643739785288625/343483525593 |
j-invariant |
L |
6.6678659271417 |
L(r)(E,1)/r! |
Ω |
0.057288517756874 |
Real period |
R |
6.4661647823461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1833a1 117312cc1 87984bf1 |
Quadratic twists by: -4 8 -3 |