Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192k |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
67719379699892224 = 218 · 172 · 197 |
Discriminant |
Eigenvalues |
2- 0 -2 2 2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37461331,88251666450] |
[a1,a2,a3,a4,a6] |
Generators |
[227333081:-29581475706:12167] |
Generators of the group modulo torsion |
j |
30171143454741297/351424 |
j-invariant |
L |
6.0401543350888 |
L(r)(E,1)/r! |
Ω |
0.24451703727068 |
Real period |
R |
12.35119319792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274b2 5168c2 |
Quadratic twists by: -4 -19 |