Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400dx |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-267160293120000 = -1 · 211 · 3 · 54 · 72 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9808,867488] |
[a1,a2,a3,a4,a6] |
j |
-81526611650/208718979 |
j-invariant |
L |
2.9229804033845 |
L(r)(E,1)/r! |
Ω |
0.48716339762611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400o1 |
Quadratic twists by: 5 |