Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700c |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
703667250000 = 24 · 39 · 56 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32400,-2244375] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:19:1] |
Generators of the group modulo torsion |
j |
764411904/143 |
j-invariant |
L |
5.9647530123798 |
L(r)(E,1)/r! |
Ω |
0.35585098914995 |
Real period |
R |
2.7936566719843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000120632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128700a1 5148b1 |
Quadratic twists by: -3 5 |