Atkin-Lehner |
2- 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400cp |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1032142320000000 = 210 · 32 · 57 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-267008,52993488] |
[a1,a2,a3,a4,a6] |
Generators |
[-552:5700:1] [-77:8550:1] |
Generators of the group modulo torsion |
j |
131576453779684/64508895 |
j-invariant |
L |
14.145733544313 |
L(r)(E,1)/r! |
Ω |
0.48562945411611 |
Real period |
R |
1.8205410301395 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080e4 |
Quadratic twists by: 5 |