Atkin-Lehner |
2- 3+ 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930x |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
240768 |
Modular degree for the optimal curve |
Δ |
63577327140864000 = 233 · 34 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -4 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-172321,-24788257] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:1248:1] |
Generators of the group modulo torsion |
j |
565898429045918870929/63577327140864000 |
j-invariant |
L |
5.739907147239 |
L(r)(E,1)/r! |
Ω |
0.23603491008557 |
Real period |
R |
0.36845520045384 |
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 |
65790be1 109650ba1 |
Quadratic twists by: -3 5 |