Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350bv |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
42811748100000000 = 28 · 34 · 58 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2758813,1763469617] |
[a1,a2,a3,a4,a6] |
Generators |
[362:28319:1] |
Generators of the group modulo torsion |
j |
148617683376642237961/2739951878400 |
j-invariant |
L |
8.8886156257061 |
L(r)(E,1)/r! |
Ω |
0.33203014482355 |
Real period |
R |
0.83657837287915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94050bd2 6270b2 |
Quadratic twists by: -3 5 |