Atkin-Lehner |
2+ 3- 5+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39990f |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
17510400 |
Modular degree for the optimal curve |
Δ |
1.8923140794755E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-315669319,2148525798026] |
[a1,a2,a3,a4,a6] |
Generators |
[9286:129416:1] |
Generators of the group modulo torsion |
j |
3478730862755677594065264638569/18923140794755363084697600 |
j-invariant |
L |
3.1390821878982 |
L(r)(E,1)/r! |
Ω |
0.069099538728253 |
Real period |
R |
0.63095014124862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970ca1 |
Quadratic twists by: -3 |