Atkin-Lehner |
3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325bn |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.934180994812E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12298505,16583311622] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:140755:1] |
Generators of the group modulo torsion |
j |
18060638120198130241/25759613671875 |
j-invariant |
L |
2.9678904849392 |
L(r)(E,1)/r! |
Ω |
0.17271048932739 |
Real period |
R |
2.1480241901358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32775bd6 19665s5 |
Quadratic twists by: -3 5 |