Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850t |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1856576566406250 = 2 · 32 · 59 · 134 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-952033401,-11306532585302] |
[a1,a2,a3,a4,a6] |
Generators |
[-38241653712:19120313974:2146689] |
Generators of the group modulo torsion |
j |
6107454519404934373045538689/118820900250 |
j-invariant |
L |
3.8440179038072 |
L(r)(E,1)/r! |
Ω |
0.027179189920903 |
Real period |
R |
8.8395246281743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770s2 |
Quadratic twists by: 5 |