Atkin-Lehner |
3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
195a |
Isogeny class |
Conductor |
195 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27720225 = 38 · 52 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-115,392] |
[a1,a2,a3,a4,a6] |
j |
168288035761/27720225 |
j-invariant |
L |
1.0057121353225 |
L(r)(E,1)/r! |
Ω |
2.011424270645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
3120r2 12480a2 585f2 975a2 |
Quadratic twists by: -4 8 -3 5 |