Atkin-Lehner |
2+ 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656c |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19776 |
Modular degree for the optimal curve |
Δ |
-6108144 = -1 · 24 · 3 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -4 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,127] |
[a1,a2,a3,a4,a6] |
j |
-12544/159 |
j-invariant |
L |
2.026639543409 |
L(r)(E,1)/r! |
Ω |
2.0266397301047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328o1 124656bg1 |
Quadratic twists by: -4 -7 |