Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656bi |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
99456 |
Modular degree for the optimal curve |
Δ |
-77061341952 = -1 · 28 · 37 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2977,-64933] |
[a1,a2,a3,a4,a6] |
j |
-232685888512/6143283 |
j-invariant |
L |
4.5171435952058 |
L(r)(E,1)/r! |
Ω |
0.32265317755954 |
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 |
62328j1 124656e1 |
Quadratic twists by: -4 -7 |