Atkin-Lehner |
5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88985a |
Isogeny class |
Conductor |
88985 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
831744 |
Modular degree for the optimal curve |
Δ |
80217436177385 = 5 · 132 · 377 |
Discriminant |
Eigenvalues |
1 0 5+ 4 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-892160,324571611] |
[a1,a2,a3,a4,a6] |
Generators |
[5646039334:-3008704309:10360232] |
Generators of the group modulo torsion |
j |
30608488561041/31265 |
j-invariant |
L |
7.3809098919797 |
L(r)(E,1)/r! |
Ω |
0.51182584663862 |
Real period |
R |
14.420744750419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2405d1 |
Quadratic twists by: 37 |