Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920d |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-2.840290282368E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 6 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7856821,8483032621] |
[a1,a2,a3,a4,a6] |
Generators |
[80325952969524:537409066756343:45004049693] |
Generators of the group modulo torsion |
j |
-3273741656681120014336/1733575611796875 |
j-invariant |
L |
4.7802522338001 |
L(r)(E,1)/r! |
Ω |
0.20740139070456 |
Real period |
R |
23.048313309574 |
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 |
73920hc1 4620m1 |
Quadratic twists by: -4 8 |