Atkin-Lehner |
3- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
76995f |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.3454095498209E+29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28324703588,-1834424052501058] |
[a1,a2,a3,a4,a6] |
Generators |
[-12201273578925947254750541315174892568496831119185488849870340892295312101238090486683793238584534844402944681739596689728:-69707024969423706105453607501839250768400740968592710285809405738535357728782117715969669033488453367906350289812395823610:126041653244006042600658972508926214300609835392536466098137582369911821170444500496909831258651912442600994880472591] |
Generators of the group modulo torsion |
j |
3447404983302672754515165992177401/870426550044016749228515625 |
j-invariant |
L |
4.3374083680388 |
L(r)(E,1)/r! |
Ω |
0.011637636596096 |
Real period |
R |
186.35262977252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25665l2 |
Quadratic twists by: -3 |