Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970dn |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4.0468274195507E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-478391297,-4027264211631] |
[a1,a2,a3,a4,a6] |
Generators |
[183677703524473677:47178885222502408516:2499398768411] |
Generators of the group modulo torsion |
j |
-58798411541899527001/196520000 |
j-invariant |
L |
10.9039309839 |
L(r)(E,1)/r! |
Ω |
0.016140751135134 |
Real period |
R |
28.148036845296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330g2 74970cm2 |
Quadratic twists by: -3 -7 |