Atkin-Lehner |
2+ 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390c |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61471872 |
Modular degree for the optimal curve |
Δ |
4.1382171976595E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5140317928,-141515312370368] |
[a1,a2,a3,a4,a6] |
j |
2605609534839039045974276809/7178421592800000000000 |
j-invariant |
L |
0.10699789218306 |
L(r)(E,1)/r! |
Ω |
0.017832982094814 |
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 |
54390bi1 |
Quadratic twists by: -7 |