Atkin-Lehner |
2- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
50920d |
Isogeny class |
Conductor |
50920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
27456 |
Modular degree for the optimal curve |
Δ |
-4705822720 = -1 · 211 · 5 · 193 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -2 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-683,7622] |
[a1,a2,a3,a4,a6] |
j |
-17205047298/2297765 |
j-invariant |
L |
1.3297173173536 |
L(r)(E,1)/r! |
Ω |
1.3297173173916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101840d1 |
Quadratic twists by: -4 |