Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6678h |
Isogeny class |
Conductor |
6678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-1938650112 = -1 · 210 · 36 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 6 5 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126,-2156] |
[a1,a2,a3,a4,a6] |
j |
-304821217/2659328 |
j-invariant |
L |
2.4981385742082 |
L(r)(E,1)/r! |
Ω |
0.62453464355206 |
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 |
53424bf1 742g1 46746s1 |
Quadratic twists by: -4 -3 -7 |