Atkin-Lehner |
3+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41325b |
Isogeny class |
Conductor |
41325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
-41325 = -1 · 3 · 52 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 2 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[4:8:1] |
Generators of the group modulo torsion |
j |
1503815/1653 |
j-invariant |
L |
3.5240909245983 |
L(r)(E,1)/r! |
Ω |
1.9558858125904 |
Real period |
R |
1.8017876615892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975u1 41325l1 |
Quadratic twists by: -3 5 |