Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950db |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
2980478592000000000 = 216 · 39 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-761105,241888897] |
[a1,a2,a3,a4,a6] |
Generators |
[79:13460:1] |
Generators of the group modulo torsion |
j |
158542456758867/9691136000 |
j-invariant |
L |
8.4309752554284 |
L(r)(E,1)/r! |
Ω |
0.24933226721504 |
Real period |
R |
0.52834713227258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40950f1 8190f1 |
Quadratic twists by: -3 5 |