Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150v |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-15229687500 = -1 · 22 · 33 · 58 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 6 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-901,-12052] |
[a1,a2,a3,a4,a6] |
Generators |
[37:56:1] |
Generators of the group modulo torsion |
j |
-14317849/2700 |
j-invariant |
L |
6.8243128541536 |
L(r)(E,1)/r! |
Ω |
0.43135196228502 |
Real period |
R |
1.3183960838632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830t1 54150bm1 |
Quadratic twists by: 5 -19 |