Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342j |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65593817586 = 2 · 32 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22025,-1259854] |
[a1,a2,a3,a4,a6] |
Generators |
[138228:6339619:64] |
Generators of the group modulo torsion |
j |
666940371553/37026 |
j-invariant |
L |
4.9717569944721 |
L(r)(E,1)/r! |
Ω |
0.39189920654503 |
Real period |
R |
6.3431577704672 |
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 |
98736bw2 37026bl2 1122j2 |
Quadratic twists by: -4 -3 -11 |