Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4700b |
Isogeny class |
Conductor |
4700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-940000000 = -1 · 28 · 57 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1133,-15137] |
[a1,a2,a3,a4,a6] |
j |
-40247296/235 |
j-invariant |
L |
0.82254288520112 |
L(r)(E,1)/r! |
Ω |
0.41127144260056 |
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 |
18800bf1 75200l1 42300v1 940e1 |
Quadratic twists by: -4 8 -3 5 |