Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248a |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
75240404418424336 = 24 · 78 · 138 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ -5 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-135256,-13826203] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:2197:1] |
Generators of the group modulo torsion |
j |
614656/169 |
j-invariant |
L |
3.3574146793099 |
L(r)(E,1)/r! |
Ω |
0.25409961258676 |
Real period |
R |
1.6516232773631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66248f1 5096g1 |
Quadratic twists by: -7 13 |