Atkin-Lehner |
2- 3- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550cb |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
2787840 |
Modular degree for the optimal curve |
Δ |
20994494225356800 = 211 · 315 · 52 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1599633,778550697] |
[a1,a2,a3,a4,a6] |
Generators |
[666:2619:1] [-1044:36729:1] |
Generators of the group modulo torsion |
j |
18106928439685652516665/839779769014272 |
j-invariant |
L |
18.156969343425 |
L(r)(E,1)/r! |
Ω |
0.3607883661473 |
Real period |
R |
0.15250247620886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550r1 |
Quadratic twists by: 5 |