Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600bm |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-1185305400000000000 = -1 · 212 · 35 · 511 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 5 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1515533,719521563] |
[a1,a2,a3,a4,a6] |
Generators |
[1153:22500:1] |
Generators of the group modulo torsion |
j |
-6015063504300544/18520396875 |
j-invariant |
L |
9.3335717750105 |
L(r)(E,1)/r! |
Ω |
0.27483311242068 |
Real period |
R |
0.84902176563978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69600bb1 13920a1 |
Quadratic twists by: -4 5 |