Atkin-Lehner |
2- 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bx |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
3391150737063936 = 220 · 3 · 78 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44787,-2340255] |
[a1,a2,a3,a4,a6] |
j |
84448510979617/28824305664 |
j-invariant |
L |
6.7454630858818 |
L(r)(E,1)/r! |
Ω |
0.33727315428777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854k1 |
Quadratic twists by: -7 |