Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650bi |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-8530060743680000000 = -1 · 216 · 57 · 78 · 172 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-279938,151526031] |
[a1,a2,a3,a4,a6] |
Generators |
[1245:-42273:1] |
Generators of the group modulo torsion |
j |
-26934258841/94699520 |
j-invariant |
L |
7.6449017911941 |
L(r)(E,1)/r! |
Ω |
0.20338276387866 |
Real period |
R |
0.097887343228582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330h1 41650bq1 |
Quadratic twists by: 5 -7 |