Atkin-Lehner |
2+ 3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570v |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
577536 |
Modular degree for the optimal curve |
Δ |
-58018731943680 = -1 · 28 · 312 · 5 · 19 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86814,9873940] |
[a1,a2,a3,a4,a6] |
j |
-99258635075509729/79586737920 |
j-invariant |
L |
2.4853356405947 |
L(r)(E,1)/r! |
Ω |
0.62133392050999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190w1 |
Quadratic twists by: -3 |