Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640s |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-5.7636885166816E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 1 2 0 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,52195,-1155078475] |
[a1,a2,a3,a4,a6] |
j |
25934336/950546875 |
j-invariant |
L |
4.2191398186449 |
L(r)(E,1)/r! |
Ω |
0.075341783779575 |
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 |
84640h1 3680h1 |
Quadratic twists by: -4 -23 |