Atkin-Lehner |
2+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2576c |
Isogeny class |
Conductor |
2576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
8078336 = 210 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2632,-52860] |
[a1,a2,a3,a4,a6] |
Generators |
[98:800:1] |
Generators of the group modulo torsion |
j |
1969910093092/7889 |
j-invariant |
L |
2.5407534920036 |
L(r)(E,1)/r! |
Ω |
0.66652192233467 |
Real period |
R |
3.8119578769502 |
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 |
1288i1 10304t1 23184j1 64400u1 |
Quadratic twists by: -4 8 -3 5 |