Atkin-Lehner |
3+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19065f |
Isogeny class |
Conductor |
19065 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40800 |
Modular degree for the optimal curve |
Δ |
455936519925 = 315 · 52 · 31 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 0 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58505,5466203] |
[a1,a2,a3,a4,a6] |
Generators |
[139:17:1] |
Generators of the group modulo torsion |
j |
22146754239644041216/455936519925 |
j-invariant |
L |
3.9692856612978 |
L(r)(E,1)/r! |
Ω |
0.8646890810437 |
Real period |
R |
2.2952097744236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57195p1 95325x1 |
Quadratic twists by: -3 5 |