Atkin-Lehner |
2- 3+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478bw |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
749952 |
Modular degree for the optimal curve |
Δ |
-3768518415292596 = -1 · 22 · 39 · 78 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -4 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,2953523] |
[a1,a2,a3,a4,a6] |
j |
-2401/653711796 |
j-invariant |
L |
1.4050881330946 |
L(r)(E,1)/r! |
Ω |
0.35127177721893 |
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 |
128478co1 |
Quadratic twists by: -7 |