Atkin-Lehner |
2+ 5- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040k |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1543134132601600 = -1 · 28 · 52 · 74 · 114 · 193 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26700,-858452] |
[a1,a2,a3,a4,a6] |
j |
8222450451364784/6027867705475 |
j-invariant |
L |
1.068787439562 |
L(r)(E,1)/r! |
Ω |
0.26719684177244 |
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 |
58520i2 |
Quadratic twists by: -4 |