Atkin-Lehner |
2- 3+ 5+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970bf |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
3087360 |
Modular degree for the optimal curve |
Δ |
3.7633825456128E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1045928,287310187] |
[a1,a2,a3,a4,a6] |
Generators |
[-727:26113:1] |
Generators of the group modulo torsion |
j |
6428910779487687483/1911996416000000 |
j-invariant |
L |
10.057842441739 |
L(r)(E,1)/r! |
Ω |
0.19052204919752 |
Real period |
R |
1.319774073753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101970i1 |
Quadratic twists by: -3 |