Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4950p |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-400950 = -1 · 2 · 36 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[5:11:1] |
Generators of the group modulo torsion |
j |
34295/22 |
j-invariant |
L |
3.141351196228 |
L(r)(E,1)/r! |
Ω |
1.7165199644853 |
Real period |
R |
0.91503485576116 |
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 |
39600dn1 550h1 4950bu1 54450gh1 |
Quadratic twists by: -4 -3 5 -11 |