Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690br |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2768678128332900 = 22 · 34 · 52 · 72 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-147685,-21759385] |
[a1,a2,a3,a4,a6] |
Generators |
[14555:1748154:1] |
Generators of the group modulo torsion |
j |
14758408587889/114704100 |
j-invariant |
L |
7.9485372816023 |
L(r)(E,1)/r! |
Ω |
0.24365143280487 |
Real period |
R |
8.1556438947974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999341 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3570w2 |
Quadratic twists by: 17 |