Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18200c |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-17836000000 = -1 · 28 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 4 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,6437] |
[a1,a2,a3,a4,a6] |
j |
-1024/4459 |
j-invariant |
L |
3.9409971654889 |
L(r)(E,1)/r! |
Ω |
0.98524929137222 |
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 |
36400r1 728d1 127400f1 |
Quadratic twists by: -4 5 -7 |