Atkin-Lehner |
2+ 3+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33390i |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-10502360031744000 = -1 · 212 · 39 · 53 · 7 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35574,-5557132] |
[a1,a2,a3,a4,a6] |
Generators |
[892:25474:1] |
Generators of the group modulo torsion |
j |
-252951575609907/533575168000 |
j-invariant |
L |
4.1615341077447 |
L(r)(E,1)/r! |
Ω |
0.16298988650559 |
Real period |
R |
2.1277056902965 |
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 |
33390ba1 |
Quadratic twists by: -3 |