Atkin-Lehner |
3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81075p |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-554610005859375 = -1 · 35 · 59 · 232 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 0 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6812,-1111633] |
[a1,a2,a3,a4,a6] |
j |
2237296892039/35495040375 |
j-invariant |
L |
2.5330771344413 |
L(r)(E,1)/r! |
Ω |
0.25330771268002 |
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 |
16215b1 |
Quadratic twists by: 5 |