Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61320b |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2145709440000 = 210 · 38 · 54 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11576,-470340] |
[a1,a2,a3,a4,a6] |
Generators |
[333:5700:1] |
Generators of the group modulo torsion |
j |
167547065609956/2095419375 |
j-invariant |
L |
4.02443646041 |
L(r)(E,1)/r! |
Ω |
0.46061205378647 |
Real period |
R |
4.3685748422101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122640o4 |
Quadratic twists by: -4 |