Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400bc |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
353816100000000 = 28 · 34 · 58 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78508,-8444512] |
[a1,a2,a3,a4,a6] |
Generators |
[532:10032:1] |
Generators of the group modulo torsion |
j |
13378610007376/88454025 |
j-invariant |
L |
7.2542380153669 |
L(r)(E,1)/r! |
Ω |
0.2853274951088 |
Real period |
R |
3.1780314543555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999743338 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25080n2 |
Quadratic twists by: 5 |