Atkin-Lehner |
2- 3+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4182g |
Isogeny class |
Conductor |
4182 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1032715283076 = 22 · 312 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10607,413201] |
[a1,a2,a3,a4,a6] |
j |
131978739953834353/1032715283076 |
j-invariant |
L |
3.5213653799851 |
L(r)(E,1)/r! |
Ω |
0.88034134499627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33456w2 12546b2 104550t2 71094v2 |
Quadratic twists by: -4 -3 5 17 |