Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122v |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
1477632 |
Modular degree for the optimal curve |
Δ |
3.5123215630275E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-821342,28169965] |
[a1,a2,a3,a4,a6] |
Generators |
[-839:11651:1] |
Generators of the group modulo torsion |
j |
3113178468776550747/1784444222439424 |
j-invariant |
L |
7.0952268579059 |
L(r)(E,1)/r! |
Ω |
0.17656350871784 |
Real period |
R |
0.38639544301987 |
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 |
31122g1 |
Quadratic twists by: -3 |