Atkin-Lehner |
2- 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19740b |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
561600 |
Modular degree for the optimal curve |
Δ |
-1.9427191724551E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-875581,-740754119] |
[a1,a2,a3,a4,a6] |
j |
-289983461318407020544/758874676740271875 |
j-invariant |
L |
1.1608117028213 |
L(r)(E,1)/r! |
Ω |
0.072550731426334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78960cr1 59220v1 98700bk1 |
Quadratic twists by: -4 -3 5 |