Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568i |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
20239432298064 = 24 · 36 · 79 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240459,45304146] |
[a1,a2,a3,a4,a6] |
Generators |
[30:6174:1] |
Generators of the group modulo torsion |
j |
816846411532288/10752021 |
j-invariant |
L |
7.3790685759692 |
L(r)(E,1)/r! |
Ω |
0.62264016189993 |
Real period |
R |
0.98760474983423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136f1 7224a1 |
Quadratic twists by: -4 -7 |