Atkin-Lehner |
5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92455o |
Isogeny class |
Conductor |
92455 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
246960 |
Modular degree for the optimal curve |
Δ |
174797734375 = 57 · 113 · 412 |
Discriminant |
Eigenvalues |
-1 -3 5- -2 11- 5 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17802,918426] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-701:1] |
Generators of the group modulo torsion |
j |
371141499016161/103984375 |
j-invariant |
L |
1.8393328100274 |
L(r)(E,1)/r! |
Ω |
0.99250601304 |
Real period |
R |
0.08824861117071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999359054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92455l1 |
Quadratic twists by: 41 |