Atkin-Lehner |
3+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605g |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-58698672092515125 = -1 · 310 · 53 · 116 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,39625,11270810] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:1883:1] |
Generators of the group modulo torsion |
j |
3883959939959/33133870125 |
j-invariant |
L |
3.6833622424862 |
L(r)(E,1)/r! |
Ω |
0.25729002625413 |
Real period |
R |
2.3859988370511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1005a2 |
Quadratic twists by: -11 |