Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410bj |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
2153343467756250000 = 24 · 34 · 58 · 74 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-913553,328508948] |
[a1,a2,a3,a4,a6] |
Generators |
[399:5050:1] |
Generators of the group modulo torsion |
j |
47595748626367201/1215506250000 |
j-invariant |
L |
5.4096060382207 |
L(r)(E,1)/r! |
Ω |
0.25984421006051 |
Real period |
R |
0.32529142876617 |
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 |
76230du3 127050fh3 210e3 |
Quadratic twists by: -3 5 -11 |