Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bu |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-50155200000000 = -1 · 212 · 36 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -1 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7200133,7438734637] |
[a1,a2,a3,a4,a6] |
j |
-645008376471556096/783675 |
j-invariant |
L |
1.609792604128 |
L(r)(E,1)/r! |
Ω |
0.40244815124097 |
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 |
3225h1 10320bi1 |
Quadratic twists by: -4 5 |