Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552ce |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
1061158643564544 = 230 · 35 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -6 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36449,-2159871] |
[a1,a2,a3,a4,a6] |
j |
20429256361753/4047998976 |
j-invariant |
L |
0.7006109476819 |
L(r)(E,1)/r! |
Ω |
0.35030518559282 |
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 |
111552bw1 27888bg1 |
Quadratic twists by: -4 8 |