Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20064i |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3156497092548096 = 29 · 3 · 112 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47312,-2911140] |
[a1,a2,a3,a4,a6] |
Generators |
[899626653057195:-23031100867521384:1240564243625] |
Generators of the group modulo torsion |
j |
22875829556351624/6165033383883 |
j-invariant |
L |
7.9600319984747 |
L(r)(E,1)/r! |
Ω |
0.33023736055002 |
Real period |
R |
24.103971716637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20064q2 40128h4 60192q3 |
Quadratic twists by: -4 8 -3 |