Atkin-Lehner |
3+ 5- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
48285b |
Isogeny class |
Conductor |
48285 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1456498739229075 = 33 · 52 · 292 · 376 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-333234,74101565] |
[a1,a2,a3,a4,a6] |
Generators |
[4198:50681:8] |
Generators of the group modulo torsion |
j |
151568376851855769723/53944397749225 |
j-invariant |
L |
9.0368726901973 |
L(r)(E,1)/r! |
Ω |
0.46959033340621 |
Real period |
R |
4.8110406280456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48285a2 |
Quadratic twists by: -3 |