Atkin-Lehner |
2+ 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51240b |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
93788403932160 = 210 · 33 · 5 · 72 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142360,20716540] |
[a1,a2,a3,a4,a6] |
Generators |
[897:24778:1] |
Generators of the group modulo torsion |
j |
311595189408689764/91590238215 |
j-invariant |
L |
3.9539985120692 |
L(r)(E,1)/r! |
Ω |
0.588326570845 |
Real period |
R |
6.7207546079835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102480v4 |
Quadratic twists by: -4 |