Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11050a |
Isogeny class |
Conductor |
11050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
73548800000000 = 216 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39542,3008116] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:2498:1] |
Generators of the group modulo torsion |
j |
437608510454961/4707123200 |
j-invariant |
L |
3.5241100869465 |
L(r)(E,1)/r! |
Ω |
0.61639179808775 |
Real period |
R |
2.8586607559343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88400s1 99450cs1 2210g1 |
Quadratic twists by: -4 -3 5 |