Atkin-Lehner |
2- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870q |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-277058853692500 = -1 · 22 · 54 · 119 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- 5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2599,-798995] |
[a1,a2,a3,a4,a6] |
Generators |
[2654:47073:8] |
Generators of the group modulo torsion |
j |
1095912791/156392500 |
j-invariant |
L |
6.9674133592991 |
L(r)(E,1)/r! |
Ω |
0.25982375489539 |
Real period |
R |
3.3519901605916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5170b1 |
Quadratic twists by: -11 |