Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342bd |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-2176702105415112 = -1 · 23 · 312 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26078,-2770932] |
[a1,a2,a3,a4,a6] |
Generators |
[274:3130:1] |
Generators of the group modulo torsion |
j |
-1107111813625/1228691592 |
j-invariant |
L |
7.8765585796082 |
L(r)(E,1)/r! |
Ω |
0.18002293690614 |
Real period |
R |
0.60768171444753 |
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 |
98736cf2 37026g2 102c2 |
Quadratic twists by: -4 -3 -11 |