Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970cq |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
Δ |
1.4271459231612E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-149246666,701771808420] |
[a1,a2,a3,a4,a6] |
Generators |
[7336:-45050:1] |
Generators of the group modulo torsion |
j |
207530301091125281552569/805586668007040 |
j-invariant |
L |
9.1168629870978 |
L(r)(E,1)/r! |
Ω |
0.13313900189177 |
Real period |
R |
0.48911625430145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570d3 |
Quadratic twists by: -11 |