Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5355c |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-2439871875 = -1 · 38 · 55 · 7 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 2 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-318,-3227] |
[a1,a2,a3,a4,a6] |
j |
-4878401536/3346875 |
j-invariant |
L |
1.0971410975591 |
L(r)(E,1)/r! |
Ω |
0.54857054877953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85680eg1 1785f1 26775bm1 37485bp1 |
Quadratic twists by: -4 -3 5 -7 |