Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13860r |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-1353199029759118080 = -1 · 28 · 39 · 5 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,174192,48470308] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:4410:1] |
Generators of the group modulo torsion |
j |
3132137615458304/7250937873795 |
j-invariant |
L |
4.392464146754 |
L(r)(E,1)/r! |
Ω |
0.18848947839918 |
Real period |
R |
1.2946387671251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55440da2 4620n2 69300bm2 97020cw2 |
Quadratic twists by: -4 -3 5 -7 |