Atkin-Lehner |
2+ 3+ 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21390a |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
5304720 = 24 · 3 · 5 · 23 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48,48] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:16:1] [1:1:1] |
Generators of the group modulo torsion |
j |
12633057289/5304720 |
j-invariant |
L |
4.5806019744044 |
L(r)(E,1)/r! |
Ω |
2.1849058417581 |
Real period |
R |
2.0964756864393 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64170bh1 106950ch1 |
Quadratic twists by: -3 5 |