Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342l |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9215660322 = 2 · 32 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3357027,2367167284] |
[a1,a2,a3,a4,a6] |
Generators |
[1064:-180:1] |
Generators of the group modulo torsion |
j |
2361739090258884097/5202 |
j-invariant |
L |
3.5976986070906 |
L(r)(E,1)/r! |
Ω |
0.59909210194353 |
Real period |
R |
3.002625635874 |
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 |
98736bz6 37026bj6 102b5 |
Quadratic twists by: -4 -3 -11 |