Atkin-Lehner |
3+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325k |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
551040 |
Modular degree for the optimal curve |
Δ |
211946783203125 = 37 · 59 · 292 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 -3 7 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-20583,-888307] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:14:1] |
Generators of the group modulo torsion |
j |
493788299264/108516753 |
j-invariant |
L |
4.9609676104768 |
L(r)(E,1)/r! |
Ω |
0.40482530186606 |
Real period |
R |
3.0636471801824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128325x1 |
Quadratic twists by: 5 |