Atkin-Lehner |
2+ 3+ 5+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33630a |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13261239878400 = 28 · 32 · 52 · 19 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24853,-1508243] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:91:1] |
Generators of the group modulo torsion |
j |
1697803698282389209/13261239878400 |
j-invariant |
L |
3.2123181840223 |
L(r)(E,1)/r! |
Ω |
0.38041455059504 |
Real period |
R |
2.1110642186257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100890x2 |
Quadratic twists by: -3 |