Atkin-Lehner |
2+ 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462c |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
140812182 = 2 · 39 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-165,-657] |
[a1,a2,a3,a4,a6] |
j |
10234947625/2873718 |
j-invariant |
L |
1.3593218237217 |
L(r)(E,1)/r! |
Ω |
1.3593218237216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386bn1 21462k1 |
Quadratic twists by: -3 -7 |