Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3306d |
Isogeny class |
Conductor |
3306 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
19781887392 = 25 · 310 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5046,-138200] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:24:1] |
Generators of the group modulo torsion |
j |
14205015873681625/19781887392 |
j-invariant |
L |
3.0181871245097 |
L(r)(E,1)/r! |
Ω |
0.56651233917746 |
Real period |
R |
1.0655327045098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26448j2 105792h2 9918t2 82650bn2 |
Quadratic twists by: -4 8 -3 5 |