Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650by |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
47191960800 = 25 · 313 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2345,43017] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:246:1] |
Generators of the group modulo torsion |
j |
78218787505/2589408 |
j-invariant |
L |
8.3019100832393 |
L(r)(E,1)/r! |
Ω |
1.1259611074716 |
Real period |
R |
0.36865882969448 |
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 |
5550c1 16650bk1 |
Quadratic twists by: -3 5 |