Atkin-Lehner |
3- 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10695f |
Isogeny class |
Conductor |
10695 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
71688317625 = 33 · 53 · 23 · 314 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1938,30031] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1782:1] |
Generators of the group modulo torsion |
j |
804382947279001/71688317625 |
j-invariant |
L |
6.7119062756468 |
L(r)(E,1)/r! |
Ω |
1.0659918067729 |
Real period |
R |
0.69959952714684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32085a1 53475b1 |
Quadratic twists by: -3 5 |