Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
79680bq |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-8776722677760 = -1 · 220 · 35 · 5 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1921,145535] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:384:1] |
Generators of the group modulo torsion |
j |
-2992209121/33480540 |
j-invariant |
L |
6.9734736693834 |
L(r)(E,1)/r! |
Ω |
0.62344346195873 |
Real period |
R |
1.1185414713033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960506 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680d1 19920j1 |
Quadratic twists by: -4 8 |