Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288be |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
349270272 = 28 · 33 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2708,-53340] |
[a1,a2,a3,a4,a6] |
Generators |
[1686:3536:27] |
Generators of the group modulo torsion |
j |
3906250000/621 |
j-invariant |
L |
6.2806221256621 |
L(r)(E,1)/r! |
Ω |
0.66180214266337 |
Real period |
R |
4.745090498074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93288h1 |
Quadratic twists by: 13 |