Atkin-Lehner |
2- 5+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350bk |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-1575840112000000 = -1 · 210 · 56 · 7 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28763,2666281] |
[a1,a2,a3,a4,a6] |
Generators |
[191:1950:1] |
Generators of the group modulo torsion |
j |
-168425239515625/100853767168 |
j-invariant |
L |
15.202928752558 |
L(r)(E,1)/r! |
Ω |
0.44041703751701 |
Real period |
R |
0.86298482006464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774c1 |
Quadratic twists by: 5 |