Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6358a |
Isogeny class |
Conductor |
6358 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-11354077647328768 = -1 · 29 · 11 · 1710 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 11+ 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4637155,-3845424243] |
[a1,a2,a3,a4,a6] |
Generators |
[3067475216810589898180790267627506022657062503306:-390023269786673084581047930440437250771453939597757:187765704583027990515324496656272078088191864] |
Generators of the group modulo torsion |
j |
-5470027161625/5632 |
j-invariant |
L |
3.9988460761088 |
L(r)(E,1)/r! |
Ω |
0.051440670035019 |
Real period |
R |
77.737052674209 |
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 |
50864bq2 57222bp2 69938o2 6358g2 |
Quadratic twists by: -4 -3 -11 17 |