Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050cw |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2260469531250 = 2 · 310 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32293242,-70626217334] |
[a1,a2,a3,a4,a6] |
j |
266916252066900625/162 |
j-invariant |
L |
1.1399719030018 |
L(r)(E,1)/r! |
Ω |
0.063331772388988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350cg2 22050ew2 22050ce2 |
Quadratic twists by: -3 5 -7 |