Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920ca |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-4183818240 = -1 · 221 · 3 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2280,41268] |
[a1,a2,a3,a4,a6] |
j |
-320153881321/1021440 |
j-invariant |
L |
2.7830586448174 |
L(r)(E,1)/r! |
Ω |
1.3915293224071 |
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 |
3990f1 127680dp1 95760dv1 |
Quadratic twists by: -4 8 -3 |