Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350cj |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-250284086920000000 = -1 · 29 · 57 · 7 · 197 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -5 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,156245,3738747] |
[a1,a2,a3,a4,a6] |
Generators |
[309:-9180:1] |
Generators of the group modulo torsion |
j |
573856191/340480 |
j-invariant |
L |
8.4055202920512 |
L(r)(E,1)/r! |
Ω |
0.19006366671705 |
Real period |
R |
1.2284655842547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270e1 6650a1 |
Quadratic twists by: 5 -19 |