Atkin-Lehner |
2+ 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978s |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-13311363633876 = -1 · 22 · 32 · 711 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1888,-178510] |
[a1,a2,a3,a4,a6] |
Generators |
[375:7015:1] |
Generators of the group modulo torsion |
j |
-6321363049/113144724 |
j-invariant |
L |
6.3302886736223 |
L(r)(E,1)/r! |
Ω |
0.30451115557393 |
Real period |
R |
1.2992727355245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854e1 |
Quadratic twists by: -7 |