Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cd |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-406594944000 = -1 · 210 · 33 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1552,-20208] |
[a1,a2,a3,a4,a6] |
Generators |
[16:92:1] |
Generators of the group modulo torsion |
j |
27436/27 |
j-invariant |
L |
5.7997563217533 |
L(r)(E,1)/r! |
Ω |
0.51558313392654 |
Real period |
R |
2.8122314037694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cg1 58800ej1 1200i1 |
Quadratic twists by: -4 5 -7 |