Atkin-Lehner |
2+ 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51240f |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
109378105885440000 = 211 · 35 · 54 · 78 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-652456,202007600] |
[a1,a2,a3,a4,a6] |
Generators |
[587:4650:1] |
Generators of the group modulo torsion |
j |
14998509870588948818/53407278264375 |
j-invariant |
L |
5.8742325635529 |
L(r)(E,1)/r! |
Ω |
0.33540641431104 |
Real period |
R |
3.5027550535152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480f3 |
Quadratic twists by: -4 |