Atkin-Lehner |
2+ 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288u |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
65432475883249488 = 24 · 36 · 139 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-517027,142390418] |
[a1,a2,a3,a4,a6] |
Generators |
[302:3726:1] |
Generators of the group modulo torsion |
j |
90085328896/385641 |
j-invariant |
L |
11.087982818342 |
L(r)(E,1)/r! |
Ω |
0.35027346141406 |
Real period |
R |
2.637934841844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93288bs1 |
Quadratic twists by: 13 |