Atkin-Lehner |
2+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13294a |
Isogeny class |
Conductor |
13294 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-568488025088 = -1 · 210 · 176 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -4 4 -2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2944,-70656] |
[a1,a2,a3,a4,a6] |
Generators |
[59808:713280:343] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
2.4007741375437 |
L(r)(E,1)/r! |
Ω |
0.32058558345808 |
Real period |
R |
7.4887152180927 |
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 |
106352r1 119646cr1 46a1 |
Quadratic twists by: -4 -3 17 |