Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686ct |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-10013041505376 = -1 · 25 · 33 · 74 · 136 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -3 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3968,-117664] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-1060:1] |
Generators of the group modulo torsion |
j |
596183/864 |
j-invariant |
L |
8.8277194998132 |
L(r)(E,1)/r! |
Ω |
0.38443101705246 |
Real period |
R |
0.76543593936646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49686ci1 294d1 |
Quadratic twists by: -7 13 |