Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bv |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-5.840329775616E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,566208,-329232384] |
[a1,a2,a3,a4,a6] |
Generators |
[10624:1092288:1] |
Generators of the group modulo torsion |
j |
1762396940073671/5127312834560 |
j-invariant |
L |
4.5272738981463 |
L(r)(E,1)/r! |
Ω |
0.10149241345493 |
Real period |
R |
1.5931077802506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650x1 11970bw1 |
Quadratic twists by: -3 5 |