Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22100f |
Isogeny class |
Conductor |
22100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
34531250000 = 24 · 510 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,-23238] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:21:1] |
Generators of the group modulo torsion |
j |
1927561216/138125 |
j-invariant |
L |
6.3862440604363 |
L(r)(E,1)/r! |
Ω |
0.75437809852644 |
Real period |
R |
2.8218581959147 |
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 |
88400bd1 4420b1 |
Quadratic twists by: -4 5 |