Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562be |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1976832 |
Modular degree for the optimal curve |
Δ |
-1.5784509006788E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 5 -2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-303899,-201657013] |
[a1,a2,a3,a4,a6] |
Generators |
[835:10818:1] |
Generators of the group modulo torsion |
j |
-192100033/976896 |
j-invariant |
L |
5.3844041151478 |
L(r)(E,1)/r! |
Ω |
0.091709322507215 |
Real period |
R |
0.66717765137589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16854g1 954c1 |
Quadratic twists by: -3 53 |