Atkin-Lehner |
3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
4425j |
Isogeny class |
Conductor |
4425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
69140625 = 3 · 58 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2313,-43008] |
[a1,a2,a3,a4,a6] |
Generators |
[84007:293209:1331] |
Generators of the group modulo torsion |
j |
87587538121/4425 |
j-invariant |
L |
2.6493432309897 |
L(r)(E,1)/r! |
Ω |
0.68842397251831 |
Real period |
R |
7.6968360683263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70800u1 13275n1 885b1 |
Quadratic twists by: -4 -3 5 |