Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
40204b |
Isogeny class |
Conductor |
40204 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
808128 |
Modular degree for the optimal curve |
Δ |
-2612624873678131456 = -1 · 28 · 194 · 238 |
Discriminant |
Eigenvalues |
2- 2 1 4 -6 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,150060,74429144] |
[a1,a2,a3,a4,a6] |
Generators |
[-17975180135146966:-946653542180477877:131981072951944] |
Generators of the group modulo torsion |
j |
18640304/130321 |
j-invariant |
L |
9.4019702856301 |
L(r)(E,1)/r! |
Ω |
0.18640629029204 |
Real period |
R |
25.219026329263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40204j1 |
Quadratic twists by: -23 |