Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200q |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2122848000000 = 211 · 36 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70761608,229133909712] |
[a1,a2,a3,a4,a6] |
j |
1224522642327678150914/66339 |
j-invariant |
L |
2.4823438480401 |
L(r)(E,1)/r! |
Ω |
0.3102930175891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600u6 4368k5 |
Quadratic twists by: -4 5 |