Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200el |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-226071300000000 = -1 · 28 · 3 · 58 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13292,414412] |
[a1,a2,a3,a4,a6] |
j |
2596940720/2260713 |
j-invariant |
L |
1.0903758482889 |
L(r)(E,1)/r! |
Ω |
0.36345855345336 |
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 |
27300x2 109200fx2 |
Quadratic twists by: -4 5 |