Atkin-Lehner |
2- 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92414p |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
147168 |
Modular degree for the optimal curve |
Δ |
-43489658744 = -1 · 23 · 78 · 23 · 41 |
Discriminant |
Eigenvalues |
2- -3 -1 7+ -2 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1308,-20457] |
[a1,a2,a3,a4,a6] |
j |
-42899409/7544 |
j-invariant |
L |
1.1795630617573 |
L(r)(E,1)/r! |
Ω |
0.39318768498087 |
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 |
92414w1 |
Quadratic twists by: -7 |