Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200be |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2508800000000 = -1 · 217 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 1 6 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16833,-838463] |
[a1,a2,a3,a4,a6] |
j |
-10303010/49 |
j-invariant |
L |
1.6760750417878 |
L(r)(E,1)/r! |
Ω |
0.20950938022348 |
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 |
11200de1 1400m1 100800gj1 11200s1 |
Quadratic twists by: -4 8 -3 5 |