Atkin-Lehner |
2+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248g |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3594030728347648 = 221 · 176 · 71 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 6 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4610433,-3808775807] |
[a1,a2,a3,a4,a6] |
Generators |
[55009:12891712:1] [-33477:64:27] |
Generators of the group modulo torsion |
j |
41343670403598390625/13710139192 |
j-invariant |
L |
9.2622044476496 |
L(r)(E,1)/r! |
Ω |
0.1030301012669 |
Real period |
R |
11.237255343307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248n2 2414e2 |
Quadratic twists by: -4 8 |