Atkin-Lehner |
2- 3+ 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350bz |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-6.3273696466284E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 3 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-542268,1219729821] |
[a1,a2,a3,a4,a6] |
Generators |
[1309:51833:1] |
Generators of the group modulo torsion |
j |
-705384129309261124585/25309478586513489408 |
j-invariant |
L |
11.072920401522 |
L(r)(E,1)/r! |
Ω |
0.13513106084788 |
Real period |
R |
2.2761689298397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350bq1 |
Quadratic twists by: 5 |