Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8800ba |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-1331000000000 = -1 · 29 · 59 · 113 |
Discriminant |
Eigenvalues |
2- -3 5- 3 11+ -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2875,81250] |
[a1,a2,a3,a4,a6] |
Generators |
[50:250:1] |
Generators of the group modulo torsion |
j |
-2628072/1331 |
j-invariant |
L |
2.8168926504442 |
L(r)(E,1)/r! |
Ω |
0.79867987079705 |
Real period |
R |
1.7634679133913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8800bb1 17600dk1 79200ci1 8800k1 |
Quadratic twists by: -4 8 -3 5 |