Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650t |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-10357632000000 = -1 · 213 · 37 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,333,154741] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:353:1] |
Generators of the group modulo torsion |
j |
357911/909312 |
j-invariant |
L |
4.0049353783153 |
L(r)(E,1)/r! |
Ω |
0.56725261784473 |
Real period |
R |
1.7650581294503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550y1 666e1 |
Quadratic twists by: -3 5 |