Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400cf |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-70848000 = -1 · 29 · 33 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,-648] |
[a1,a2,a3,a4,a6] |
j |
-3652264/1107 |
j-invariant |
L |
1.396703142828 |
L(r)(E,1)/r! |
Ω |
0.69835157442058 |
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 |
98400ct1 98400bm1 |
Quadratic twists by: -4 5 |