Atkin-Lehner |
2+ 3+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42642a |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
506559843781632 = 210 · 39 · 23 · 1033 |
Discriminant |
Eigenvalues |
2+ 3+ -2 5 -1 1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-184263,30471101] |
[a1,a2,a3,a4,a6] |
j |
35151847738525539/25735906304 |
j-invariant |
L |
2.0724380243773 |
L(r)(E,1)/r! |
Ω |
0.51810950609714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42642h1 |
Quadratic twists by: -3 |