Atkin-Lehner |
7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107219m |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8156160 |
Modular degree for the optimal curve |
Δ |
1065649533781 = 72 · 177 · 53 |
Discriminant |
Eigenvalues |
-2 -1 3 7- 2 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-98627704,-376971594908] |
[a1,a2,a3,a4,a6] |
Generators |
[-27059730819746930:-2252530297483:4719651332824] |
Generators of the group modulo torsion |
j |
4395688995422533685248/44149 |
j-invariant |
L |
3.801207704215 |
L(r)(E,1)/r! |
Ω |
0.047907093534589 |
Real period |
R |
19.83635106913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307c1 |
Quadratic twists by: 17 |