Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20286bk |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-3665860015104 = -1 · 210 · 33 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -4 -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11236616,14500585803] |
[a1,a2,a3,a4,a6] |
Generators |
[1997:3705:1] |
Generators of the group modulo torsion |
j |
-1008050316336685251/23552 |
j-invariant |
L |
9.0267549237134 |
L(r)(E,1)/r! |
Ω |
0.41192551070597 |
Real period |
R |
0.36522602141679 |
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 |
20286d1 20286bs1 |
Quadratic twists by: -3 -7 |