Atkin-Lehner |
3- 5- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109395z |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-147377265074325 = -1 · 315 · 52 · 11 · 133 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 11- 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31712,2258624] |
[a1,a2,a3,a4,a6] |
j |
-4837870546133689/202163600925 |
j-invariant |
L |
2.297747197684 |
L(r)(E,1)/r! |
Ω |
0.57443694648339 |
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 |
36465p1 |
Quadratic twists by: -3 |