Atkin-Lehner |
2- 13- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22724b |
Isogeny class |
Conductor |
22724 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-12419649858304 = -1 · 28 · 136 · 19 · 232 |
Discriminant |
Eigenvalues |
2- -2 3 5 -3 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22269,1282879] |
[a1,a2,a3,a4,a6] |
j |
-4770955817377792/48514257259 |
j-invariant |
L |
2.8604065309047 |
L(r)(E,1)/r! |
Ω |
0.71510163272617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90896v1 |
Quadratic twists by: -4 |