Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416d |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-6403096211226624 = -1 · 217 · 33 · 77 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -1 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33972,-3002256] |
[a1,a2,a3,a4,a6] |
Generators |
[189:3189:1] |
Generators of the group modulo torsion |
j |
1225217998314/1809323971 |
j-invariant |
L |
4.6758046718788 |
L(r)(E,1)/r! |
Ω |
0.22414216364037 |
Real period |
R |
5.2152221116682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416eg1 6552a1 52416a1 |
Quadratic twists by: -4 8 -3 |