Atkin-Lehner |
3- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94809r |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
1467648 |
Modular degree for the optimal curve |
Δ |
-1060541667035307171 = -1 · 37 · 112 · 138 · 173 |
Discriminant |
Eigenvalues |
2 3- 1 0 11+ 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,100330,48047393] |
[a1,a2,a3,a4,a6] |
Generators |
[2138:77567:8] |
Generators of the group modulo torsion |
j |
136919404544/1300112451 |
j-invariant |
L |
18.319410830983 |
L(r)(E,1)/r! |
Ω |
0.20276668574596 |
Real period |
R |
0.71704160294612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94809w1 |
Quadratic twists by: 13 |