Atkin-Lehner |
2+ 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530i |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7923857792647500 = -1 · 22 · 310 · 54 · 11 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-91080,11436700] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:-3790:1] |
Generators of the group modulo torsion |
j |
-114621986736766081/10869489427500 |
j-invariant |
L |
2.4810584731698 |
L(r)(E,1)/r! |
Ω |
0.40589540393226 |
Real period |
R |
0.38203476332126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510n4 |
Quadratic twists by: -3 |