Atkin-Lehner |
3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41895be |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-20785156875 = -1 · 36 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -1 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-882,-12238] |
[a1,a2,a3,a4,a6] |
Generators |
[42:157:1] |
Generators of the group modulo torsion |
j |
-43352064/11875 |
j-invariant |
L |
5.077258782532 |
L(r)(E,1)/r! |
Ω |
0.43187144426166 |
Real period |
R |
0.48985051473763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655a1 41895ba1 |
Quadratic twists by: -3 -7 |