Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550gd |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
1542240 |
Modular degree for the optimal curve |
Δ |
82192521895411200 = 29 · 3 · 52 · 78 · 135 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 5 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-183898,26962151] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-3857:1] |
Generators of the group modulo torsion |
j |
4772330903305/570306048 |
j-invariant |
L |
10.198143179361 |
L(r)(E,1)/r! |
Ω |
0.33043034403083 |
Real period |
R |
0.22861641696737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550eu1 95550jm1 |
Quadratic twists by: 5 -7 |