Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bv |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.5597802482906E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 6 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4654009729,-122203443695327] |
[a1,a2,a3,a4,a6] |
Generators |
[-591586678442089137088785086948251246294503251983199261635279644405067413506190773:-46649130210668412161582137327705024203499379072233919617716038455340940793801452:15015732867359818152904336865455328100243440495290111849049261955424498594769] |
Generators of the group modulo torsion |
j |
42527088479156730816081087073/9764786713754861568 |
j-invariant |
L |
4.5243047400859 |
L(r)(E,1)/r! |
Ω |
0.01827859199859 |
Real period |
R |
123.75966213467 |
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 |
107328bg2 26832s2 |
Quadratic twists by: -4 8 |