Atkin-Lehner |
3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46389d |
Isogeny class |
Conductor |
46389 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-5115348754803 = -1 · 39 · 76 · 472 |
Discriminant |
Eigenvalues |
2 3+ 0 7+ 0 -3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,392,108645] |
[a1,a2,a3,a4,a6] |
j |
3008000000/2315685267 |
j-invariant |
L |
1.1961654535778 |
L(r)(E,1)/r! |
Ω |
0.59808272687475 |
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 |
46389c1 |
Quadratic twists by: -47 |