Atkin-Lehner |
2- 3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
71094o |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-13650048 = -1 · 27 · 32 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 -7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23,173] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-14:1] [-3:16:1] |
Generators of the group modulo torsion |
j |
-4668625/47232 |
j-invariant |
L |
12.671316860714 |
L(r)(E,1)/r! |
Ω |
1.9044186121551 |
Real period |
R |
0.47526003773536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71094bc1 |
Quadratic twists by: 17 |