Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200dj |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-433200000000 = -1 · 210 · 3 · 58 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1867,-5637] |
[a1,a2,a3,a4,a6] |
j |
44957696/27075 |
j-invariant |
L |
4.3823298558283 |
L(r)(E,1)/r! |
Ω |
0.54779124087228 |
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 |
91200gm1 5700g1 18240u1 |
Quadratic twists by: -4 8 5 |