Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
880d |
Isogeny class |
Conductor |
880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-2816000 = -1 · 211 · 53 · 11 |
Discriminant |
Eigenvalues |
2+ -3 5- -1 11- -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67,226] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:20:1] |
Generators of the group modulo torsion |
j |
-16241202/1375 |
j-invariant |
L |
1.619060176534 |
L(r)(E,1)/r! |
Ω |
2.4941606033041 |
Real period |
R |
0.054095025476347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
440d1 3520v1 7920e1 4400d1 |
Quadratic twists by: -4 8 -3 5 |