Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4950bd |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-410572800 = -1 · 211 · 36 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1850,31097] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-89:1] |
Generators of the group modulo torsion |
j |
-38401771585/22528 |
j-invariant |
L |
5.4785911365344 |
L(r)(E,1)/r! |
Ω |
1.6624947111302 |
Real period |
R |
0.1497910749281 |
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 |
39600dr1 550c1 4950r1 54450bo1 |
Quadratic twists by: -4 -3 5 -11 |