Atkin-Lehner |
3+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128877d |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
171962256501 = 36 · 7 · 173 · 193 |
Discriminant |
Eigenvalues |
-2 3+ -1 7+ 2 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17106,866630] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1130:1] [60:-230:1] |
Generators of the group modulo torsion |
j |
80711180701696/25071039 |
j-invariant |
L |
4.9717088093196 |
L(r)(E,1)/r! |
Ω |
0.99558686509573 |
Real period |
R |
0.41614557404232 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128877m1 |
Quadratic twists by: -19 |