Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cp |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8751373817638410 = 2 · 34 · 5 · 78 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-140631,19781775] |
[a1,a2,a3,a4,a6] |
Generators |
[1062:14343:8] |
Generators of the group modulo torsion |
j |
2614441086442081/74385450090 |
j-invariant |
L |
11.00617204306 |
L(r)(E,1)/r! |
Ω |
0.41057609114109 |
Real period |
R |
3.3508320018152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770r3 |
Quadratic twists by: -7 |