Atkin-Lehner |
2+ 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5394b |
Isogeny class |
Conductor |
5394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22800 |
Modular degree for the optimal curve |
Δ |
-194821700256 = -1 · 25 · 35 · 292 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 -3 -3 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-84744,-9530784] |
[a1,a2,a3,a4,a6] |
j |
-67306746411784284553/194821700256 |
j-invariant |
L |
0.27981537382816 |
L(r)(E,1)/r! |
Ω |
0.13990768691408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43152bf1 16182l1 |
Quadratic twists by: -4 -3 |