Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785n |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.5738509542325E+31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15232131608,-570176405293998] |
[a1,a2,a3,a4,a6] |
Generators |
[3974037905404741592945975708223590710:2459746238065153762633726411264498030623:9396498798288773259464071141928] |
Generators of the group modulo torsion |
j |
302637069626404192074729361/66388413495623699390625 |
j-invariant |
L |
3.0450948499662 |
L(r)(E,1)/r! |
Ω |
0.013801993498034 |
Real period |
R |
55.156794023991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23595d6 6435f5 |
Quadratic twists by: -3 -11 |