Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
94815n |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
933888 |
Modular degree for the optimal curve |
Δ |
-1992319116840675 = -1 · 38 · 52 · 710 · 43 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 3 3 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-104223,13127553] |
[a1,a2,a3,a4,a6] |
Generators |
[1218:7101:8] |
Generators of the group modulo torsion |
j |
-1459817795584/23229675 |
j-invariant |
L |
13.995448252916 |
L(r)(E,1)/r! |
Ω |
0.46728065971308 |
Real period |
R |
3.743854997495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31605y1 13545m1 |
Quadratic twists by: -3 -7 |