Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ho |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
45187200 |
Modular degree for the optimal curve |
Δ |
-3883396608000000000 = -1 · 218 · 35 · 59 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3646053888,-84740402842719] |
[a1,a2,a3,a4,a6] |
Generators |
[2471685:3883477157:1] |
Generators of the group modulo torsion |
j |
-1143064566833321674543757/828112896 |
j-invariant |
L |
9.3023175931692 |
L(r)(E,1)/r! |
Ω |
0.0097143509290362 |
Real period |
R |
8.8665285922244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550ey1 95550lc1 |
Quadratic twists by: 5 -7 |