Atkin-Lehner |
2+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4730b |
Isogeny class |
Conductor |
4730 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
28440150818750000 = 24 · 58 · 113 · 434 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-137654,17939460] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:6237:1] |
Generators of the group modulo torsion |
j |
288464247626448102201/28440150818750000 |
j-invariant |
L |
2.9248175557468 |
L(r)(E,1)/r! |
Ω |
0.36308114235138 |
Real period |
R |
2.0138869901127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37840bb4 42570x4 23650l4 52030x4 |
Quadratic twists by: -4 -3 5 -11 |