Atkin-Lehner |
2+ 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290j |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-22329660150000000 = -1 · 27 · 33 · 58 · 74 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156819,24999733] |
[a1,a2,a3,a4,a6] |
Generators |
[197:-1411:1] |
Generators of the group modulo torsion |
j |
-15796379036178848043/827024450000000 |
j-invariant |
L |
5.5828632144112 |
L(r)(E,1)/r! |
Ω |
0.37667957797217 |
Real period |
R |
0.46316414707168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290bs2 |
Quadratic twists by: -3 |