Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968dx |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-178201916234496 = -1 · 28 · 36 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23232,-1506692] |
[a1,a2,a3,a4,a6] |
j |
-4194304/539 |
j-invariant |
L |
1.5357926128631 |
L(r)(E,1)/r! |
Ω |
0.19197406369951 |
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 |
30492bf1 13552o1 11088bx1 |
Quadratic twists by: -4 -3 -11 |