Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800em |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-132300000000 = -1 · 28 · 33 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1167,-8037] |
[a1,a2,a3,a4,a6] |
j |
35840/27 |
j-invariant |
L |
1.7433655662644 |
L(r)(E,1)/r! |
Ω |
0.58112185536844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400dk1 58800z1 58800bp1 |
Quadratic twists by: -4 5 -7 |