Atkin-Lehner |
2+ 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454a |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
13461067242 = 2 · 33 · 74 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 6 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-597,-477] |
[a1,a2,a3,a4,a6] |
j |
363328875/207646 |
j-invariant |
L |
2.0921542629748 |
L(r)(E,1)/r! |
Ω |
1.0460771314329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41454bj2 41454b1 |
Quadratic twists by: -3 -7 |