Atkin-Lehner |
2+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4510b |
Isogeny class |
Conductor |
4510 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2736 |
Modular degree for the optimal curve |
Δ |
-917338510 = -1 · 2 · 5 · 113 · 413 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-644,-6504] |
[a1,a2,a3,a4,a6] |
Generators |
[66:456:1] |
Generators of the group modulo torsion |
j |
-29472131485369/917338510 |
j-invariant |
L |
1.3215213115435 |
L(r)(E,1)/r! |
Ω |
0.4730786705045 |
Real period |
R |
2.7934493646357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36080k1 40590bn1 22550bc1 49610r1 |
Quadratic twists by: -4 -3 5 -11 |