Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520c |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-147295903416320000 = -1 · 235 · 54 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -2 -5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,105919,-12806881] |
[a1,a2,a3,a4,a6] |
Generators |
[329:7600:1] |
Generators of the group modulo torsion |
j |
73087061741/81920000 |
j-invariant |
L |
3.5695224523151 |
L(r)(E,1)/r! |
Ω |
0.17568417105151 |
Real period |
R |
2.5397297480275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997996892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520bo1 3610i1 115520e1 |
Quadratic twists by: -4 8 -19 |