Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038v |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3948938382222814176 = -1 · 25 · 316 · 77 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,395127,1284205] |
[a1,a2,a3,a4,a6] |
j |
79545835321343/46043103456 |
j-invariant |
L |
2.3709078599177 |
L(r)(E,1)/r! |
Ω |
0.14818174120062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346w2 7434c2 |
Quadratic twists by: -3 -7 |