Atkin-Lehner |
2- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107996g |
Isogeny class |
Conductor |
107996 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-113825772682496 = -1 · 28 · 76 · 194 · 29 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -3 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1519,513814] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:608:1] [-49:686:1] |
Generators of the group modulo torsion |
j |
-12869712/3779309 |
j-invariant |
L |
5.2046085296035 |
L(r)(E,1)/r! |
Ω |
0.48151112643918 |
Real period |
R |
0.4503710854856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2204a1 |
Quadratic twists by: -7 |