Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990bq |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-3.1963137128981E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,765575,-86361913] |
[a1,a2,a3,a4,a6] |
j |
421792317902132351/271682182840320 |
j-invariant |
L |
3.3342311519952 |
L(r)(E,1)/r! |
Ω |
0.11907968399983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970bf1 124950df1 3570x1 |
Quadratic twists by: -3 5 -7 |