Atkin-Lehner |
2+ 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662a |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
792000 |
Modular degree for the optimal curve |
Δ |
-1233829140583424 = -1 · 210 · 7 · 119 · 73 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4353,1686738] |
[a1,a2,a3,a4,a6] |
j |
3869893/523264 |
j-invariant |
L |
1.4932663890866 |
L(r)(E,1)/r! |
Ω |
0.37331716132691 |
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 |
123662bb1 |
Quadratic twists by: -11 |