Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640s |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
9062400000 = 214 · 3 · 55 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-965,-10275] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:25:1] |
Generators of the group modulo torsion |
j |
6072054784/553125 |
j-invariant |
L |
4.9346334255917 |
L(r)(E,1)/r! |
Ω |
0.86149751072312 |
Real period |
R |
1.1455943549468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640cz1 7080k1 |
Quadratic twists by: -4 8 |