Atkin-Lehner |
17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63257a |
Isogeny class |
Conductor |
63257 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
875846364137 = 17 · 616 |
Discriminant |
Eigenvalues |
1 0 -2 -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2558,21919] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:47:1] |
Generators of the group modulo torsion |
j |
35937/17 |
j-invariant |
L |
1.7324914239357 |
L(r)(E,1)/r! |
Ω |
0.79233305860816 |
Real period |
R |
4.3731393131803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17a4 |
Quadratic twists by: 61 |