Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800eu |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-43236007500000000 = -1 · 28 · 3 · 510 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22867,-9922863] |
[a1,a2,a3,a4,a6] |
j |
57344/1875 |
j-invariant |
L |
2.086238961601 |
L(r)(E,1)/r! |
Ω |
0.17385324685394 |
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 |
14700ba1 11760cl1 58800if1 |
Quadratic twists by: -4 5 -7 |