Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350bn |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
10501920 |
Modular degree for the optimal curve |
Δ |
4.8270879039095E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-318897201,-2191918432952] |
[a1,a2,a3,a4,a6] |
Generators |
[-3526957:2251656:343] |
Generators of the group modulo torsion |
j |
52648307940625/708588 |
j-invariant |
L |
6.2431880826675 |
L(r)(E,1)/r! |
Ω |
0.035726233198297 |
Real period |
R |
7.9432185002584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350cs1 43350l1 |
Quadratic twists by: 5 17 |