Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370bj |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
119040998528301120 = 26 · 312 · 5 · 176 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137732,-10525849] |
[a1,a2,a3,a4,a6] |
Generators |
[699:14959:1] |
Generators of the group modulo torsion |
j |
396367273597942009/163293550793280 |
j-invariant |
L |
10.694039164245 |
L(r)(E,1)/r! |
Ω |
0.25697227387513 |
Real period |
R |
3.4679614143352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790i1 |
Quadratic twists by: -3 |