Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400p |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
1.19020640625E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-971175,328864250] |
[a1,a2,a3,a4,a6] |
Generators |
[-905:21600:1] |
Generators of the group modulo torsion |
j |
34739908901584/4081640625 |
j-invariant |
L |
3.4495964031199 |
L(r)(E,1)/r! |
Ω |
0.21839760704286 |
Real period |
R |
3.9487570958995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800x1 15480n1 |
Quadratic twists by: -3 5 |