Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376bg |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-11982104064 = -1 · 29 · 33 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,5272] |
[a1,a2,a3,a4,a6] |
Generators |
[9:76:1] |
Generators of the group modulo torsion |
j |
-392/9747 |
j-invariant |
L |
3.8314001420985 |
L(r)(E,1)/r! |
Ω |
1.0140675253119 |
Real period |
R |
1.8891247594903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376cf1 89376cl1 |
Quadratic twists by: -4 -7 |