Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280p |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
58464 |
Modular degree for the optimal curve |
Δ |
-258548750000 = -1 · 24 · 57 · 17 · 233 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -5 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1592,-857] |
[a1,a2,a3,a4,a6] |
Generators |
[33:296:1] |
Generators of the group modulo torsion |
j |
27888998547456/16159296875 |
j-invariant |
L |
2.4048275528958 |
L(r)(E,1)/r! |
Ω |
0.58428186882031 |
Real period |
R |
4.1158688660855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7820a1 125120db1 |
Quadratic twists by: -4 8 |