Atkin-Lehner |
2- 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
63756i |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4720690098432 = -1 · 28 · 39 · 7 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27135,-1723626] |
[a1,a2,a3,a4,a6] |
j |
-438512454000/936859 |
j-invariant |
L |
3.3473722545852 |
L(r)(E,1)/r! |
Ω |
0.18596512519332 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63756f1 |
Quadratic twists by: -3 |