Atkin-Lehner |
5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26195l |
Isogeny class |
Conductor |
26195 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
72144 |
Modular degree for the optimal curve |
Δ |
-10232421875 = -1 · 59 · 132 · 31 |
Discriminant |
Eigenvalues |
2 3 5- -2 0 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4147,-102905] |
[a1,a2,a3,a4,a6] |
Generators |
[155238:4144267:216] |
Generators of the group modulo torsion |
j |
-46670141067264/60546875 |
j-invariant |
L |
17.761413102064 |
L(r)(E,1)/r! |
Ω |
0.29744198609906 |
Real period |
R |
6.6348748223344 |
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 |
26195c1 |
Quadratic twists by: 13 |