Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3900d |
Isogeny class |
Conductor |
3900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
533081250000 = 24 · 38 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2033,4062] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:172:1] |
Generators of the group modulo torsion |
j |
3718856704/2132325 |
j-invariant |
L |
3.1319150657442 |
L(r)(E,1)/r! |
Ω |
0.79135662328823 |
Real period |
R |
3.9576531914656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600ck1 62400cj1 11700p1 780c1 |
Quadratic twists by: -4 8 -3 5 |