Atkin-Lehner |
5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41905f |
Isogeny class |
Conductor |
41905 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
3499947505 = 5 · 176 · 29 |
Discriminant |
Eigenvalues |
-1 0 5- 2 6 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-777,8024] |
[a1,a2,a3,a4,a6] |
Generators |
[4:68:1] |
Generators of the group modulo torsion |
j |
2146689/145 |
j-invariant |
L |
4.4267798957158 |
L(r)(E,1)/r! |
Ω |
1.380410693995 |
Real period |
R |
3.2068571440213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
145a1 |
Quadratic twists by: 17 |