Atkin-Lehner |
3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675l |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
1663316015625 = 38 · 58 · 11 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3713,60792] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-371:1] [-59:304:1] |
Generators of the group modulo torsion |
j |
362314607689/106452225 |
j-invariant |
L |
6.9106082324816 |
L(r)(E,1)/r! |
Ω |
0.78190294443264 |
Real period |
R |
1.1047739814906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735a1 |
Quadratic twists by: 5 |