Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568c |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
5099378256 = 24 · 32 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4867,132280] |
[a1,a2,a3,a4,a6] |
j |
6774679552/2709 |
j-invariant |
L |
2.6803647473447 |
L(r)(E,1)/r! |
Ω |
1.3401823737559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136s1 7224b1 |
Quadratic twists by: -4 -7 |