Atkin-Lehner |
2+ 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720k |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
176512 |
Modular degree for the optimal curve |
Δ |
-1576986019840 = -1 · 211 · 5 · 77 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9560,-361648] |
[a1,a2,a3,a4,a6] |
j |
-47185967490482/770012705 |
j-invariant |
L |
3.3764349188421 |
L(r)(E,1)/r! |
Ω |
0.2411739514714 |
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 |
52360d1 |
Quadratic twists by: -4 |