Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215k |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
290678073388486875 = 32 · 54 · 77 · 137 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36175721,83732819204] |
[a1,a2,a3,a4,a6] |
j |
9219915604149769/511875 |
j-invariant |
L |
0.92544702589687 |
L(r)(E,1)/r! |
Ω |
0.23136123012027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745w3 9555k3 |
Quadratic twists by: -7 13 |