Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900o |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
444860281250000 = 24 · 59 · 76 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55533,-4952312] |
[a1,a2,a3,a4,a6] |
Generators |
[552:11528:1] |
Generators of the group modulo torsion |
j |
643956736/15125 |
j-invariant |
L |
3.3228738417542 |
L(r)(E,1)/r! |
Ω |
0.31144578644152 |
Real period |
R |
5.3345943120254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780f1 1100b1 |
Quadratic twists by: 5 -7 |