Atkin-Lehner |
3+ 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23055f |
Isogeny class |
Conductor |
23055 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2170470987856485 = -1 · 324 · 5 · 29 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,29915,-1016200] |
[a1,a2,a3,a4,a6] |
Generators |
[75:1249:1] [1515:58609:1] |
Generators of the group modulo torsion |
j |
2960668794936256559/2170470987856485 |
j-invariant |
L |
4.6238032758946 |
L(r)(E,1)/r! |
Ω |
0.25970794920175 |
Real period |
R |
35.607714666465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69165h3 115275p3 |
Quadratic twists by: -3 5 |