Atkin-Lehner |
3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31581h |
Isogeny class |
Conductor |
31581 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48964608 |
Modular degree for the optimal curve |
Δ |
1.0763985809611E+27 |
Discriminant |
Eigenvalues |
2 3- 2 1 11- -5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10384686939,-407319278122859] |
[a1,a2,a3,a4,a6] |
Generators |
[-7226678899130260839579180076342608903789484190345203976423751091130076665940041547041399888915998:-2730547326568488447368866890164276431601125998294462867513691361240943904212621905654909331717007:123081844243965980177003891670725031733643473844632356584726747128904943480741673135011548104] |
Generators of the group modulo torsion |
j |
792565070619875179466752/6888173965235109 |
j-invariant |
L |
13.190164011838 |
L(r)(E,1)/r! |
Ω |
0.01495551693635 |
Real period |
R |
146.99329204038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10527g1 31581r1 |
Quadratic twists by: -3 -11 |