Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4020a |
Isogeny class |
Conductor |
4020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-34732800 = -1 · 28 · 34 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,279] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-30:1] |
Generators of the group modulo torsion |
j |
-4194304/135675 |
j-invariant |
L |
3.8703129980632 |
L(r)(E,1)/r! |
Ω |
1.7238273867891 |
Real period |
R |
0.093549413834494 |
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 |
16080o1 64320n1 12060b1 20100a1 |
Quadratic twists by: -4 8 -3 5 |