Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280bq |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-10832274770295600 = -1 · 24 · 310 · 52 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69078,8596973] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:3179:1] |
Generators of the group modulo torsion |
j |
-3125327017363456/928692967275 |
j-invariant |
L |
7.4542383666197 |
L(r)(E,1)/r! |
Ω |
0.38358402874751 |
Real period |
R |
1.6194275249577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999398532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760c1 |
Quadratic twists by: -3 |