Atkin-Lehner |
2+ 3+ 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958c |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
40713228288 = 212 · 34 · 412 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 6 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2364,42192] |
[a1,a2,a3,a4,a6] |
j |
1462019437814473/40713228288 |
j-invariant |
L |
2.2850890354738 |
L(r)(E,1)/r! |
Ω |
1.1425445177369 |
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 |
53874m1 |
Quadratic twists by: -3 |