Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960bc |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1.370566656E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2394252,-1414777104] |
[a1,a2,a3,a4,a6] |
Generators |
[9172:865000:1] |
Generators of the group modulo torsion |
j |
294172502025843/2656250000 |
j-invariant |
L |
5.6599987099637 |
L(r)(E,1)/r! |
Ω |
0.12143496050959 |
Real period |
R |
4.6609301688719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960dy2 1530a2 48960i2 |
Quadratic twists by: -4 8 -3 |