Atkin-Lehner |
2+ 3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
71094n |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
5130295465536 = 26 · 34 · 176 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19225,1018556] |
[a1,a2,a3,a4,a6] |
Generators |
[67:146:1] |
Generators of the group modulo torsion |
j |
32553430057/212544 |
j-invariant |
L |
5.9921976567294 |
L(r)(E,1)/r! |
Ω |
0.77041727020707 |
Real period |
R |
1.9444649959037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
246d1 |
Quadratic twists by: 17 |