Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cc |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.3014504116718E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24190336,47854450540] |
[a1,a2,a3,a4,a6] |
Generators |
[86042931:5840185000:12167] |
Generators of the group modulo torsion |
j |
-6497274863743503842/344536934765625 |
j-invariant |
L |
5.0972685152288 |
L(r)(E,1)/r! |
Ω |
0.10674682564705 |
Real period |
R |
11.937752018175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bz6 |
Quadratic twists by: -7 |