Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800s |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-12348000000 = -1 · 28 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,-5088] |
[a1,a2,a3,a4,a6] |
j |
2000/9 |
j-invariant |
L |
2.5576344314669 |
L(r)(E,1)/r! |
Ω |
0.63940860792057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400bl1 2352g1 58800cv1 |
Quadratic twists by: -4 5 -7 |