Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3696n |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9386285432832 = 215 · 312 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5808,-83520] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:182:1] |
Generators of the group modulo torsion |
j |
5290763640625/2291573592 |
j-invariant |
L |
2.9985944629888 |
L(r)(E,1)/r! |
Ω |
0.56885607798039 |
Real period |
R |
2.6356354261299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462g2 14784cc2 11088bf2 92400he2 |
Quadratic twists by: -4 8 -3 5 |