Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bb |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-145272985200 = -1 · 24 · 32 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,18747] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1029:8] [63:489:1] |
Generators of the group modulo torsion |
j |
-160000/3087 |
j-invariant |
L |
8.50574265831 |
L(r)(E,1)/r! |
Ω |
0.86801826315694 |
Real period |
R |
1.2248795646553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ed1 58800eo1 8400u1 |
Quadratic twists by: -4 5 -7 |