Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150bp |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-14088750000000 = -1 · 27 · 3 · 510 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16263,-825219] |
[a1,a2,a3,a4,a6] |
Generators |
[179:1338:1] |
Generators of the group modulo torsion |
j |
-48711031225/1442688 |
j-invariant |
L |
8.6566252120168 |
L(r)(E,1)/r! |
Ω |
0.21101414639059 |
Real period |
R |
2.9302792389207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450bj1 33150y1 |
Quadratic twists by: -3 5 |