Atkin-Lehner |
2- 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904bk |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-9950322108096 = -1 · 26 · 34 · 193 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -1 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17067,877221] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1311:1] [84:171:1] |
Generators of the group modulo torsion |
j |
-8590941264282112/155473782939 |
j-invariant |
L |
6.4203367323806 |
L(r)(E,1)/r! |
Ω |
0.72602819255386 |
Real period |
R |
0.36846231766029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904bl1 41952i1 |
Quadratic twists by: -4 8 |