Atkin-Lehner |
2+ 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400g |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6033495600000000 = 210 · 38 · 58 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30654008,65335158012] |
[a1,a2,a3,a4,a6] |
Generators |
[3202:-500:1] [6113:326106:1] |
Generators of the group modulo torsion |
j |
199097379011842234564/377093475 |
j-invariant |
L |
10.875480451647 |
L(r)(E,1)/r! |
Ω |
0.27563738157552 |
Real period |
R |
4.9319691298496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080v4 |
Quadratic twists by: 5 |