Atkin-Lehner |
2+ 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832b |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-742995787776 = -1 · 225 · 3 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 11+ 6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3937,-102431] |
[a1,a2,a3,a4,a6] |
Generators |
[80:297:1] |
Generators of the group modulo torsion |
j |
-25750777177/2834304 |
j-invariant |
L |
4.2645453640804 |
L(r)(E,1)/r! |
Ω |
0.29948985663085 |
Real period |
R |
3.5598413247118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999747252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128832bm1 4026d1 |
Quadratic twists by: -4 8 |