Atkin-Lehner |
2+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
51392a |
Isogeny class |
Conductor |
51392 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
-6218432 = -1 · 26 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ 1 2 -5 11+ 3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33,107] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:199:27] |
Generators of the group modulo torsion |
j |
60236288/97163 |
j-invariant |
L |
6.8163359911705 |
L(r)(E,1)/r! |
Ω |
1.627019590937 |
Real period |
R |
4.1894615339234 |
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 |
51392f1 25696e1 |
Quadratic twists by: -4 8 |