Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bw |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
39046875 = 3 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 6 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-113,342] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:30:1] |
Generators of the group modulo torsion |
j |
208537/51 |
j-invariant |
L |
5.3444950304372 |
L(r)(E,1)/r! |
Ω |
1.9204738323045 |
Real period |
R |
2.7829043752954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499e1 62475d1 |
Quadratic twists by: 5 -7 |