Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200cy |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-3810628800000000 = -1 · 212 · 39 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27000,2430000] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:1188:1] |
Generators of the group modulo torsion |
j |
69120/121 |
j-invariant |
L |
3.588669407961 |
L(r)(E,1)/r! |
Ω |
0.30286168609453 |
Real period |
R |
1.4811502955968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200p1 79200q1 79200c1 |
Quadratic twists by: -4 -3 5 |