Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
53792d |
Isogeny class |
Conductor |
53792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
12464273528384 = 26 · 417 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 6 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24094,-1437504] |
[a1,a2,a3,a4,a6] |
Generators |
[-287985:224126:3375] |
Generators of the group modulo torsion |
j |
5088448/41 |
j-invariant |
L |
3.6254245435984 |
L(r)(E,1)/r! |
Ω |
0.38338212835897 |
Real period |
R |
9.4564255226746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53792c1 107584j1 1312a1 |
Quadratic twists by: -4 8 41 |