Atkin-Lehner |
2+ 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550b |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
86897802272000000 = 211 · 56 · 312 · 414 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 6 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-245926,-44767752] |
[a1,a2,a3,a4,a6] |
Generators |
[35094:-1173173:27] |
Generators of the group modulo torsion |
j |
105272390671409233/5561459345408 |
j-invariant |
L |
3.4221926783241 |
L(r)(E,1)/r! |
Ω |
0.21509175251712 |
Real period |
R |
7.955192698932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2542a2 |
Quadratic twists by: 5 |