Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
46176q |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1224960 |
Modular degree for the optimal curve |
Δ |
-7333348285001576448 = -1 · 212 · 33 · 1311 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 3 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,370835,-97181819] |
[a1,a2,a3,a4,a6] |
Generators |
[48219697:341898252:205379] |
Generators of the group modulo torsion |
j |
1376907430053400064/1790368233642963 |
j-invariant |
L |
3.4435970507621 |
L(r)(E,1)/r! |
Ω |
0.12559213245031 |
Real period |
R |
13.709445741449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46176z1 92352cn1 |
Quadratic twists by: -4 8 |