Atkin-Lehner |
3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55233l |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
4335182937 = 37 · 172 · 193 |
Discriminant |
Eigenvalues |
-1 3- -2 0 6 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3146,-67048] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:24:1] |
Generators of the group modulo torsion |
j |
688465387/867 |
j-invariant |
L |
2.9303423758132 |
L(r)(E,1)/r! |
Ω |
0.63753422147278 |
Real period |
R |
1.149092188801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18411j1 55233i1 |
Quadratic twists by: -3 -19 |