Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390ce |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-1.8929773455991E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4206210,7403899215] |
[a1,a2,a3,a4,a6] |
Generators |
[-1947:91623:1] |
Generators of the group modulo torsion |
j |
-69953320343800203409/160900419519000000 |
j-invariant |
L |
9.6249703601552 |
L(r)(E,1)/r! |
Ω |
0.10836338806799 |
Real period |
R |
0.82241887704146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770z3 |
Quadratic twists by: -7 |