Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dx |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-5975439769600 = -1 · 216 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2625,129377] |
[a1,a2,a3,a4,a6] |
Generators |
[59:420:1] |
Generators of the group modulo torsion |
j |
-30534944836/91177975 |
j-invariant |
L |
10.987209596803 |
L(r)(E,1)/r! |
Ω |
0.66562975180424 |
Real period |
R |
1.3755406774217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440bi1 17360j1 |
Quadratic twists by: -4 8 |