Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920n |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
85686871818240000 = 218 · 36 · 54 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12196801,-16391140415] |
[a1,a2,a3,a4,a6] |
Generators |
[11439:1157912:1] |
Generators of the group modulo torsion |
j |
765458482133960722801/326869475625 |
j-invariant |
L |
5.0675696882471 |
L(r)(E,1)/r! |
Ω |
0.080786367033809 |
Real period |
R |
7.8410038036208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974439 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920gd4 1155m3 |
Quadratic twists by: -4 8 |