Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840en |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7225344 |
Modular degree for the optimal curve |
Δ |
1.5425075025E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12031428,-14910079552] |
[a1,a2,a3,a4,a6] |
Generators |
[-1547977038247134:-2743415953134688:638944802397] |
Generators of the group modulo torsion |
j |
64504166108617130176/5165826416015625 |
j-invariant |
L |
8.099687052823 |
L(r)(E,1)/r! |
Ω |
0.081474509415587 |
Real period |
R |
24.853438933128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840fl1 61920y1 41280ch1 |
Quadratic twists by: -4 8 -3 |