Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216bb |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.5686970743911E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2829585036,-57933738472480] |
[a1,a2,a3,a4,a6] |
Generators |
[1260031102135740260740675482565520292964648880118533103676:217005181944888059956044908987650235581141614689159826862060:16465078878115491030081954329016851963856011028101189] |
Generators of the group modulo torsion |
j |
839082157271345371360241728/1530047406279184551 |
j-invariant |
L |
3.769252862007 |
L(r)(E,1)/r! |
Ω |
0.02069993180389 |
Real period |
R |
91.045055068699 |
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 |
117216r2 39072c2 |
Quadratic twists by: -4 -3 |