Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342l |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
53745730997904 = 24 · 38 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13797,513280] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:930:1] |
Generators of the group modulo torsion |
j |
163936758817/30338064 |
j-invariant |
L |
3.5976986070906 |
L(r)(E,1)/r! |
Ω |
0.59909210194353 |
Real period |
R |
0.75065640896851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98736bz2 37026bj2 102b2 |
Quadratic twists by: -4 -3 -11 |