Atkin-Lehner |
3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
2703a |
Isogeny class |
Conductor |
2703 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
936 |
Modular degree for the optimal curve |
Δ |
17734383 = 39 · 17 · 53 |
Discriminant |
Eigenvalues |
1 3+ 0 -1 0 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1300,17509] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-7:1] |
Generators of the group modulo torsion |
j |
243262773015625/17734383 |
j-invariant |
L |
3.3237003313123 |
L(r)(E,1)/r! |
Ω |
2.079399831843 |
Real period |
R |
1.5983940560227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43248bf1 8109c1 67575g1 45951i1 |
Quadratic twists by: -4 -3 5 17 |