Atkin-Lehner |
2+ 3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978c |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13830912 |
Modular degree for the optimal curve |
Δ |
-1.0272565307628E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 11+ -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59357204,182623604304] |
[a1,a2,a3,a4,a6] |
j |
-9632785061827893455502313/427845285615476146176 |
j-invariant |
L |
1.0417135924206 |
L(r)(E,1)/r! |
Ω |
0.086809466086175 |
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 |
54978u1 |
Quadratic twists by: -7 |