Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746m |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-83784580540416 = -1 · 211 · 38 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 5 2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5301,466101] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:699:1] |
Generators of the group modulo torsion |
j |
-192100033/976896 |
j-invariant |
L |
4.1054314227117 |
L(r)(E,1)/r! |
Ω |
0.52634749737009 |
Real period |
R |
1.949962450293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582ba1 954c1 |
Quadratic twists by: -3 -7 |