Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20600b |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-1030000000000 = -1 · 210 · 510 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 4 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-48912] |
[a1,a2,a3,a4,a6] |
Generators |
[92:848:1] |
Generators of the group modulo torsion |
j |
-100/103 |
j-invariant |
L |
2.9442658796735 |
L(r)(E,1)/r! |
Ω |
0.39529250912749 |
Real period |
R |
3.7241609841941 |
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 |
41200j1 20600w1 |
Quadratic twists by: -4 5 |