Atkin-Lehner |
2- 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504w |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-248064 = -1 · 28 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1196,15528] |
[a1,a2,a3,a4,a6] |
j |
-739674007504/969 |
j-invariant |
L |
2.6425189843408 |
L(r)(E,1)/r! |
Ω |
2.6425189843408 |
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 |
3876a1 62016bs1 46512bi1 |
Quadratic twists by: -4 8 -3 |