Atkin-Lehner |
2- 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7068c |
Isogeny class |
Conductor |
7068 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
5670345945168 = 24 · 35 · 196 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4797,-55242] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:265:1] |
Generators of the group modulo torsion |
j |
763138591817728/354396621573 |
j-invariant |
L |
3.4647066425308 |
L(r)(E,1)/r! |
Ω |
0.59986507002399 |
Real period |
R |
3.8505399693659 |
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 |
28272i1 113088q1 21204d1 |
Quadratic twists by: -4 8 -3 |