Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232ca |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2714837095130333184 = -1 · 218 · 312 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,336703,-24973665] |
[a1,a2,a3,a4,a6] |
Generators |
[205:7260:1] |
Generators of the group modulo torsion |
j |
9090072503/5845851 |
j-invariant |
L |
6.3844447917847 |
L(r)(E,1)/r! |
Ω |
0.14628944948631 |
Real period |
R |
1.8184396340621 |
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 |
23232db3 363a4 69696cw3 2112l4 |
Quadratic twists by: -4 8 -3 -11 |