Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650bw |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-11200184800 = -1 · 25 · 52 · 77 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 5 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,7972] |
[a1,a2,a3,a4,a6] |
Generators |
[18:40:1] |
Generators of the group modulo torsion |
j |
-9765625/3808 |
j-invariant |
L |
5.8197894532929 |
L(r)(E,1)/r! |
Ω |
1.1993892703136 |
Real period |
R |
0.24261470388894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41650be1 5950q1 |
Quadratic twists by: 5 -7 |