Atkin-Lehner |
11- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
98857b |
Isogeny class |
Conductor |
98857 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119040 |
Modular degree for the optimal curve |
Δ |
-302499355433 = -1 · 117 · 192 · 43 |
Discriminant |
Eigenvalues |
-1 -1 -4 2 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2725,59676] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1091:1] |
Generators of the group modulo torsion |
j |
-1263214441/170753 |
j-invariant |
L |
2.6115585355451 |
L(r)(E,1)/r! |
Ω |
0.93962318486773 |
Real period |
R |
0.3474209905991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999775308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8987d1 |
Quadratic twists by: -11 |