Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430b |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.1763926698522E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-164280100558,-25628708032847852] |
[a1,a2,a3,a4,a6] |
Generators |
[-5748675181069572299293316289689483825302210856999826279708157500325990872532626999555644338646176559828510499:2878416089821151339215362374505335146369795052847842498316699335370561540836852036924112222439164128992195234:24566048138488276011882033347932009377615057175856813690884300194238307734994707495278313321655288717807] |
Generators of the group modulo torsion |
j |
490318852757569888422767256681877393129/717639266985221002500000 |
j-invariant |
L |
2.474948491664 |
L(r)(E,1)/r! |
Ω |
0.0074989993278458 |
Real period |
R |
165.01858337777 |
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 |
115440ci4 43290bq4 72150co4 |
Quadratic twists by: -4 -3 5 |