Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656cy |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-44348936921856 = -1 · 28 · 34 · 79 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -1 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7317,-398439] |
[a1,a2,a3,a4,a6] |
j |
-4194304/4293 |
j-invariant |
L |
1.9834037176259 |
L(r)(E,1)/r! |
Ω |
0.24792545945561 |
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 |
31164q1 124656dv1 |
Quadratic twists by: -4 -7 |