Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425ci |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-30397705078125 = -1 · 3 · 512 · 73 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2213,-268458] |
[a1,a2,a3,a4,a6] |
Generators |
[942:28404:1] |
Generators of the group modulo torsion |
j |
-223648543/5671875 |
j-invariant |
L |
3.5631765891943 |
L(r)(E,1)/r! |
Ω |
0.28631301275311 |
Real period |
R |
3.1112597319009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275ei2 8085e2 40425n2 |
Quadratic twists by: -3 5 -7 |