Atkin-Lehner |
2+ 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050bi |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
621310500000000 = 28 · 34 · 59 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33951,-2090702] |
[a1,a2,a3,a4,a6] |
j |
2215812441653/318110976 |
j-invariant |
L |
2.8406284912115 |
L(r)(E,1)/r! |
Ω |
0.35507857962075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100050bx1 |
Quadratic twists by: 5 |