Atkin-Lehner |
2- 3+ 7+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73458s |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
7174899628435832832 = 226 · 39 · 7 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2981666,-1976753375] |
[a1,a2,a3,a4,a6] |
j |
148939284213727483419/364522665672704 |
j-invariant |
L |
2.9875971652072 |
L(r)(E,1)/r! |
Ω |
0.11490758358444 |
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 |
73458a1 |
Quadratic twists by: -3 |