Atkin-Lehner |
2- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5590h |
Isogeny class |
Conductor |
5590 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2464 |
Modular degree for the optimal curve |
Δ |
-228966400 = -1 · 214 · 52 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 4 2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-202,-1271] |
[a1,a2,a3,a4,a6] |
j |
-907320368241/228966400 |
j-invariant |
L |
4.3759785880326 |
L(r)(E,1)/r! |
Ω |
0.62513979829037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44720r1 50310o1 27950b1 72670a1 |
Quadratic twists by: -4 -3 5 13 |