Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200bi |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-2256984000 = -1 · 26 · 38 · 53 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-198,-2592] |
[a1,a2,a3,a4,a6] |
Generators |
[24:84:1] |
Generators of the group modulo torsion |
j |
-107850176/282123 |
j-invariant |
L |
10.548107383196 |
L(r)(E,1)/r! |
Ω |
0.59139055531978 |
Real period |
R |
2.2295138298984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200p1 103200ce1 |
Quadratic twists by: -4 5 |