Atkin-Lehner |
2+ 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978z |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
139022581834752 = 210 · 3 · 76 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12962,26996] |
[a1,a2,a3,a4,a6] |
j |
2046931732873/1181672448 |
j-invariant |
L |
0.98954744442344 |
L(r)(E,1)/r! |
Ω |
0.49477372257294 |
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 |
1122a1 |
Quadratic twists by: -7 |