Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232ca |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
137928013774848 = 218 · 33 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50497,4314143] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:2904:1] |
Generators of the group modulo torsion |
j |
30664297/297 |
j-invariant |
L |
6.3844447917847 |
L(r)(E,1)/r! |
Ω |
0.58515779794523 |
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 |
23232db1 363a1 69696cw1 2112l1 |
Quadratic twists by: -4 8 -3 -11 |