Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150cf |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
458727589008000000 = 210 · 310 · 56 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-477763,-122897983] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:1625:1] |
Generators of the group modulo torsion |
j |
771864882375147625/29358565696512 |
j-invariant |
L |
9.6355571262066 |
L(r)(E,1)/r! |
Ω |
0.18201715164439 |
Real period |
R |
0.26468816370205 |
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 |
99450bd1 1326a1 |
Quadratic twists by: -3 5 |