Atkin-Lehner |
2+ 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390k |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
6.6045273552563E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9577467,-11345172579] |
[a1,a2,a3,a4,a6] |
Generators |
[-1723:7599:1] |
Generators of the group modulo torsion |
j |
825824067562227826729/5613755625000000 |
j-invariant |
L |
4.2445506425989 |
L(r)(E,1)/r! |
Ω |
0.085854840102133 |
Real period |
R |
2.4719343938601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1110f2 |
Quadratic twists by: -7 |