Atkin-Lehner |
2+ 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7050c |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18480 |
Modular degree for the optimal curve |
Δ |
-112800000000 = -1 · 211 · 3 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -5 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22700,-1326000] |
[a1,a2,a3,a4,a6] |
j |
-3311853689065/288768 |
j-invariant |
L |
0.19447256022403 |
L(r)(E,1)/r! |
Ω |
0.19447256022403 |
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 |
56400dg1 21150co1 7050bf1 |
Quadratic twists by: -4 -3 5 |