Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712cb |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-52284376793088 = -1 · 214 · 310 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4848,322720] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1521:1] |
Generators of the group modulo torsion |
j |
1055028224/4377483 |
j-invariant |
L |
3.6796566045243 |
L(r)(E,1)/r! |
Ω |
0.45099439298068 |
Real period |
R |
4.0794926754466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998881958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712dr1 13464o1 35904bh1 |
Quadratic twists by: -4 8 -3 |