Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8360i |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1780345600 = -1 · 28 · 52 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 11- 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100,2100] |
[a1,a2,a3,a4,a6] |
j |
-436334416/6954475 |
j-invariant |
L |
5.0287632555094 |
L(r)(E,1)/r! |
Ω |
1.2571908138773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720l2 66880b2 75240bc2 41800x2 |
Quadratic twists by: -4 8 -3 5 |