Atkin-Lehner |
2+ 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33390m |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
532466156250 = 2 · 38 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5580,157950] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:585:1] |
Generators of the group modulo torsion |
j |
26359827238081/730406250 |
j-invariant |
L |
4.1340972223455 |
L(r)(E,1)/r! |
Ω |
0.92226080581578 |
Real period |
R |
1.1206421210452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bh2 |
Quadratic twists by: -3 |