Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690t |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
35123722281729000 = 23 · 310 · 53 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40369419,98735028925] |
[a1,a2,a3,a4,a6] |
Generators |
[3689:302:1] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
4.5923771767103 |
L(r)(E,1)/r! |
Ω |
0.24838534055941 |
Real period |
R |
3.081486993103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230p7 90c8 |
Quadratic twists by: -3 29 |