Atkin-Lehner |
2+ 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
116200m |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
410112 |
Modular degree for the optimal curve |
Δ |
-219657693920000 = -1 · 28 · 54 · 74 · 833 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 4 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22708,-1490188] |
[a1,a2,a3,a4,a6] |
j |
-8093931250000/1372860587 |
j-invariant |
L |
2.3120380540933 |
L(r)(E,1)/r! |
Ω |
0.19266975033321 |
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 |
116200t1 |
Quadratic twists by: 5 |