Atkin-Lehner |
2- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21620c |
Isogeny class |
Conductor |
21620 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
497260000000 = 28 · 57 · 232 · 47 |
Discriminant |
Eigenvalues |
2- -3 5- -3 -3 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3247,62614] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:250:1] [3:230:1] |
Generators of the group modulo torsion |
j |
14788720896336/1942421875 |
j-invariant |
L |
4.8306377891332 |
L(r)(E,1)/r! |
Ω |
0.89657715500989 |
Real period |
R |
0.12828252963273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86480k1 108100g1 |
Quadratic twists by: -4 5 |