Atkin-Lehner |
3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075n |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-190008749025703125 = -1 · 32 · 57 · 74 · 1034 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-264750,-56581875] |
[a1,a2,a3,a4,a6] |
Generators |
[10500:1069425:1] |
Generators of the group modulo torsion |
j |
-131345184699560161/12160559937645 |
j-invariant |
L |
5.6330762975374 |
L(r)(E,1)/r! |
Ω |
0.10468342247326 |
Real period |
R |
6.7263232376806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10815i4 |
Quadratic twists by: 5 |