Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478m |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3020544 |
Modular degree for the optimal curve |
Δ |
-287635797558445248 = -1 · 26 · 37 · 112 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -4 -5 11+ 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1197324,-504633456] |
[a1,a2,a3,a4,a6] |
j |
-15332135329/23232 |
j-invariant |
L |
0.57725428041235 |
L(r)(E,1)/r! |
Ω |
0.072156784893016 |
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 |
23826bj1 71478cd1 |
Quadratic twists by: -3 -19 |