Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288bc |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.4727822517952E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4190534872,-104411054199908] |
[a1,a2,a3,a4,a6] |
Generators |
[2731883265394201144162284383142253411607:-980125700574219011047505251952354435999220:17163516025175256121812862554569267] |
Generators of the group modulo torsion |
j |
1646538988508182476100228/50029458753573 |
j-invariant |
L |
8.4384597300693 |
L(r)(E,1)/r! |
Ω |
0.018764292350544 |
Real period |
R |
56.213549003996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176c3 |
Quadratic twists by: 13 |