Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554k |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
1354320 |
Modular degree for the optimal curve |
Δ |
-30644181189876132 = -1 · 22 · 319 · 193 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 3 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-259475,-51587422] |
[a1,a2,a3,a4,a6] |
Generators |
[873:19246:1] |
Generators of the group modulo torsion |
j |
-2010409280180424553/31887805608612 |
j-invariant |
L |
6.0732979683042 |
L(r)(E,1)/r! |
Ω |
0.10566633826334 |
Real period |
R |
1.5125311681188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109554b1 |
Quadratic twists by: -31 |