Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10836g |
Isogeny class |
Conductor |
10836 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-12098968916896512 = -1 · 28 · 38 · 72 · 435 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 -3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46560,-6554396] |
[a1,a2,a3,a4,a6] |
j |
-59812937728000/64830723363 |
j-invariant |
L |
1.8701412908975 |
L(r)(E,1)/r! |
Ω |
0.15584510757479 |
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 |
43344bb1 3612g1 75852b1 |
Quadratic twists by: -4 -3 -7 |