Atkin-Lehner |
3- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
51207d |
Isogeny class |
Conductor |
51207 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
57038401953 = 32 · 137 · 101 |
Discriminant |
Eigenvalues |
-1 3- 2 0 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41662,3269603] |
[a1,a2,a3,a4,a6] |
Generators |
[502944603:3270200821:2803221] |
Generators of the group modulo torsion |
j |
1656855346537/11817 |
j-invariant |
L |
5.9885246043676 |
L(r)(E,1)/r! |
Ω |
0.99766836813549 |
Real period |
R |
12.005040543745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3939c1 |
Quadratic twists by: 13 |