Atkin-Lehner |
2+ 3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978b |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1747200 |
Modular degree for the optimal curve |
Δ |
-4.5754371930844E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-397072,339227722] |
[a1,a2,a3,a4,a6] |
j |
-1201016270784841/7936851927906 |
j-invariant |
L |
0.69557972006881 |
L(r)(E,1)/r! |
Ω |
0.17389492942094 |
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 |
54978t1 |
Quadratic twists by: -7 |