Atkin-Lehner |
2- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18700l |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-329120000 = -1 · 28 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -3 5- -3 11+ -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-775,8350] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:110:1] [10:40:1] |
Generators of the group modulo torsion |
j |
-321742800/2057 |
j-invariant |
L |
4.3684453896853 |
L(r)(E,1)/r! |
Ω |
1.7224273486064 |
Real period |
R |
0.14090081113402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800dq1 18700b1 |
Quadratic twists by: -4 5 |