Atkin-Lehner |
2- 3- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34362h |
Isogeny class |
Conductor |
34362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-128032812 = -1 · 22 · 36 · 232 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -5 -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50,573] |
[a1,a2,a3,a4,a6] |
Generators |
[21:81:1] |
Generators of the group modulo torsion |
j |
-18609625/175628 |
j-invariant |
L |
8.4175571803252 |
L(r)(E,1)/r! |
Ω |
1.5827656831991 |
Real period |
R |
1.3295646458721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818c1 |
Quadratic twists by: -3 |