Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210b |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16111872 |
Modular degree for the optimal curve |
Δ |
-1.5143578592368E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -2 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28463820,61383018896] |
[a1,a2,a3,a4,a6] |
Generators |
[-4127:331531:1] |
Generators of the group modulo torsion |
j |
-26946027/1600 |
j-invariant |
L |
5.3034313021719 |
L(r)(E,1)/r! |
Ω |
0.10132921935425 |
Real period |
R |
6.5423272688381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999677205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210cl1 123210cm1 |
Quadratic twists by: -3 37 |