Atkin-Lehner |
2+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77248f |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
117248 |
Modular degree for the optimal curve |
Δ |
672366592 = 215 · 172 · 71 |
Discriminant |
Eigenvalues |
2+ 3 -4 1 2 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1612,-24880] |
[a1,a2,a3,a4,a6] |
Generators |
[-618:136:27] |
Generators of the group modulo torsion |
j |
14137378632/20519 |
j-invariant |
L |
8.9611358875954 |
L(r)(E,1)/r! |
Ω |
0.75352237065145 |
Real period |
R |
1.4865411163057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248i1 38624b1 |
Quadratic twists by: -4 8 |