Atkin-Lehner |
2+ 3+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
22752a |
Isogeny class |
Conductor |
22752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-6369103872 = -1 · 212 · 39 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 5 -3 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4860,-130464] |
[a1,a2,a3,a4,a6] |
Generators |
[645:16281:1] |
Generators of the group modulo torsion |
j |
-157464000/79 |
j-invariant |
L |
5.5826899036333 |
L(r)(E,1)/r! |
Ω |
0.28588898492812 |
Real period |
R |
4.8818686605196 |
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 |
22752k1 45504d1 22752j1 |
Quadratic twists by: -4 8 -3 |