Atkin-Lehner |
5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8405c |
Isogeny class |
Conductor |
8405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
4868856847025 = 52 · 417 |
Discriminant |
Eigenvalues |
-1 0 5- 4 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36457,2686264] |
[a1,a2,a3,a4,a6] |
j |
1128111921/1025 |
j-invariant |
L |
1.5299514397864 |
L(r)(E,1)/r! |
Ω |
0.76497571989318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75645h1 42025a1 205a1 |
Quadratic twists by: -3 5 41 |