Atkin-Lehner |
2- 5+ 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550bp |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
-888726924800 = -1 · 29 · 52 · 11 · 135 · 17 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 11+ 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1335,-48753] |
[a1,a2,a3,a4,a6] |
Generators |
[63:306:1] |
Generators of the group modulo torsion |
j |
-10517741258985/35549076992 |
j-invariant |
L |
5.5470425181568 |
L(r)(E,1)/r! |
Ω |
0.36316261219324 |
Real period |
R |
0.33942814270796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550u1 |
Quadratic twists by: 5 |