Atkin-Lehner |
2- 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980o |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-228989017062000 = -1 · 24 · 38 · 53 · 135 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19893,1302433] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:1521:1] |
Generators of the group modulo torsion |
j |
-74640931223296/19632117375 |
j-invariant |
L |
5.8473122528916 |
L(r)(E,1)/r! |
Ω |
0.53093235418656 |
Real period |
R |
1.1013290493072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36660k1 |
Quadratic twists by: -3 |