Atkin-Lehner |
2+ 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150n |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
463797093702250000 = 24 · 56 · 76 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-193642,-1403484] |
[a1,a2,a3,a4,a6] |
Generators |
[824:-20362:1] [-392:3958:1] |
Generators of the group modulo torsion |
j |
51392959346614257/29683013996944 |
j-invariant |
L |
7.9689555155325 |
L(r)(E,1)/r! |
Ω |
0.24856302528274 |
Real period |
R |
1.3358375115012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2926a2 |
Quadratic twists by: 5 |