Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968k |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
798608587569408 = 28 · 33 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59895,5475734] |
[a1,a2,a3,a4,a6] |
j |
1458000/49 |
j-invariant |
L |
2.0004014815463 |
L(r)(E,1)/r! |
Ω |
0.50010048048985 |
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 |
60984a1 121968l1 121968b1 |
Quadratic twists by: -4 -3 -11 |