Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800bj |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-210636800000000000 = -1 · 221 · 511 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 11+ 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34675,-22220750] |
[a1,a2,a3,a4,a6] |
Generators |
[329:1408:1] [615:-13750:1] |
Generators of the group modulo torsion |
j |
-72043225281/3291200000 |
j-invariant |
L |
5.5489006320051 |
L(r)(E,1)/r! |
Ω |
0.13844145726051 |
Real period |
R |
1.2525377021081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350g1 14960o1 |
Quadratic twists by: -4 5 |