Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970x |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2501697198536E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10344166,-11197986868] |
[a1,a2,a3,a4,a6] |
Generators |
[7258248970500139800505352124463:-167092613569467015275258439938085:7053116952414679215487414667] |
Generators of the group modulo torsion |
j |
69096190760262356111/70568821500000000 |
j-invariant |
L |
5.6227806923894 |
L(r)(E,1)/r! |
Ω |
0.056714425873301 |
Real period |
R |
49.570991900865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570k3 |
Quadratic twists by: -11 |