Atkin-Lehner |
2- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42772d |
Isogeny class |
Conductor |
42772 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7560 |
Modular degree for the optimal curve |
Δ |
-2737408 = -1 · 28 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-164,-760] |
[a1,a2,a3,a4,a6] |
Generators |
[58:426:1] |
Generators of the group modulo torsion |
j |
-6633808/37 |
j-invariant |
L |
6.5009440323902 |
L(r)(E,1)/r! |
Ω |
0.66648950773821 |
Real period |
R |
3.251336021001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42772e1 |
Quadratic twists by: 17 |