Atkin-Lehner |
2+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320r |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
8339513600 = 28 · 52 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-580,-3300] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:44:1] [-10:40:1] |
Generators of the group modulo torsion |
j |
84433792336/32576225 |
j-invariant |
L |
8.1541448479828 |
L(r)(E,1)/r! |
Ω |
1.0050356707327 |
Real period |
R |
2.028322249041 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39160q1 |
Quadratic twists by: -4 |