Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56280t |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5935781250000000000 = 210 · 34 · 516 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1181880,480849372] |
[a1,a2,a3,a4,a6] |
Generators |
[774:5400:1] |
Generators of the group modulo torsion |
j |
178297097536231238884/5796661376953125 |
j-invariant |
L |
5.8900413454216 |
L(r)(E,1)/r! |
Ω |
0.23804948617336 |
Real period |
R |
1.5464330127603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560s3 |
Quadratic twists by: -4 |