Atkin-Lehner |
2+ 3+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118992g |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-4398301296 = -1 · 24 · 34 · 373 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 4 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,100,-3201] |
[a1,a2,a3,a4,a6] |
Generators |
[55:407:1] |
Generators of the group modulo torsion |
j |
6843110144/274893831 |
j-invariant |
L |
6.9849508467475 |
L(r)(E,1)/r! |
Ω |
0.66295524095185 |
Real period |
R |
1.7560136945427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999353832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59496b1 |
Quadratic twists by: -4 |