Atkin-Lehner |
2+ 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51240f |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
13505303319782400 = 210 · 310 · 52 · 74 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59536,-59536] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:2352:1] |
Generators of the group modulo torsion |
j |
22791347777282116/13188772773225 |
j-invariant |
L |
5.8742325635529 |
L(r)(E,1)/r! |
Ω |
0.33540641431104 |
Real period |
R |
1.7513775267576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102480f2 |
Quadratic twists by: -4 |