Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bj |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1241594067238560000 = 28 · 38 · 54 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-309236,38689589] |
[a1,a2,a3,a4,a6] |
Generators |
[-373:10301:1] |
Generators of the group modulo torsion |
j |
135487869158881/51438240000 |
j-invariant |
L |
8.9658964808656 |
L(r)(E,1)/r! |
Ω |
0.24882530383049 |
Real period |
R |
2.2520560466833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999075 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
210e2 |
Quadratic twists by: 17 |