Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bv |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-60880884758965152 = -1 · 25 · 315 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42125,-12318379] |
[a1,a2,a3,a4,a6] |
j |
-1967079625/14486688 |
j-invariant |
L |
4.4238107786993 |
L(r)(E,1)/r! |
Ω |
0.14746035928998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762k1 20286cn1 |
Quadratic twists by: -3 -7 |