Atkin-Lehner |
2+ 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462d |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-60129941304132 = -1 · 22 · 36 · 710 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13255,-701399] |
[a1,a2,a3,a4,a6] |
j |
-911871625/212868 |
j-invariant |
L |
0.87899733537264 |
L(r)(E,1)/r! |
Ω |
0.21974933384316 |
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 |
64386bp1 21462l1 |
Quadratic twists by: -3 -7 |