Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474x |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-203309339292072 = -1 · 23 · 37 · 13 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -5 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1692,-686120] |
[a1,a2,a3,a4,a6] |
j |
-15625/5928 |
j-invariant |
L |
1.011353618881 |
L(r)(E,1)/r! |
Ω |
0.25283837884737 |
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 |
28158q1 4446n1 |
Quadratic twists by: -3 -19 |