Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101150cb |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1348127200 = -1 · 25 · 52 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 1 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38245,2888317] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-24:1] |
Generators of the group modulo torsion |
j |
-50367487715865/10976 |
j-invariant |
L |
11.6953711282 |
L(r)(E,1)/r! |
Ω |
1.2087776459583 |
Real period |
R |
0.32251233748145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101150z1 101150bn1 |
Quadratic twists by: 5 17 |