Atkin-Lehner |
2+ 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290i |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-18228294000 = -1 · 24 · 33 · 53 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51,-6507] |
[a1,a2,a3,a4,a6] |
Generators |
[22:59:1] |
Generators of the group modulo torsion |
j |
537367797/675122000 |
j-invariant |
L |
5.6438409764711 |
L(r)(E,1)/r! |
Ω |
0.57066104127939 |
Real period |
R |
0.82416714537762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290br1 |
Quadratic twists by: -3 |