Atkin-Lehner |
2+ 3+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042d |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
109056 |
Modular degree for the optimal curve |
Δ |
-2573197956 = -1 · 22 · 39 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 1 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25044,-1519228] |
[a1,a2,a3,a4,a6] |
j |
-88257832883667/130732 |
j-invariant |
L |
1.5180384262769 |
L(r)(E,1)/r! |
Ω |
0.18975480578296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84042bg1 |
Quadratic twists by: -3 |