Atkin-Lehner |
2+ 3- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370t |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
198643214362500 = 22 · 38 · 55 · 174 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22194,-1071392] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:389:1] [-794:3457:8] |
Generators of the group modulo torsion |
j |
1658494119237409/272487262500 |
j-invariant |
L |
6.9802176960837 |
L(r)(E,1)/r! |
Ω |
0.39550511135523 |
Real period |
R |
0.44122171216478 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790p1 |
Quadratic twists by: -3 |