Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530v |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-2296203033600 = -1 · 210 · 310 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2889,-93555] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1227:1] |
Generators of the group modulo torsion |
j |
-3658671062929/3149798400 |
j-invariant |
L |
3.7990757023575 |
L(r)(E,1)/r! |
Ω |
0.31423010977997 |
Real period |
R |
3.0225267917655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510u1 97650dx1 |
Quadratic twists by: -3 5 |