Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050l |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2364912450 = -1 · 2 · 312 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -1 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,333,31] |
[a1,a2,a3,a4,a6] |
Generators |
[23:128:1] |
Generators of the group modulo torsion |
j |
223694375/129762 |
j-invariant |
L |
4.2741292833187 |
L(r)(E,1)/r! |
Ω |
0.87362368030671 |
Real period |
R |
2.4462073199644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13350k1 40050bm1 |
Quadratic twists by: -3 5 |