Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510p |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.911006266985E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-734582970,-7542572912204] |
[a1,a2,a3,a4,a6] |
Generators |
[-21646225086436101861949:-24303293394283430846575:1543830431823583093] |
Generators of the group modulo torsion |
j |
1490171974311284012503/26891921826316800 |
j-invariant |
L |
4.2058529793775 |
L(r)(E,1)/r! |
Ω |
0.029031204038436 |
Real period |
R |
36.218382243306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170br2 48510bi2 |
Quadratic twists by: -3 -7 |