Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200y |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-4668177744000000 = -1 · 210 · 314 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 5 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40992,-762012] |
[a1,a2,a3,a4,a6] |
Generators |
[24:486:1] |
Generators of the group modulo torsion |
j |
476091534236/291761109 |
j-invariant |
L |
7.8385085493319 |
L(r)(E,1)/r! |
Ω |
0.25139134181971 |
Real period |
R |
1.1135894014636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600v1 2928a1 |
Quadratic twists by: -4 5 |