Atkin-Lehner |
5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
91295a |
Isogeny class |
Conductor |
91295 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-248301342351775 = -1 · 52 · 192 · 317 |
Discriminant |
Eigenvalues |
1 0 5+ 0 -6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9430,668871] |
[a1,a2,a3,a4,a6] |
j |
104487111/279775 |
j-invariant |
L |
0.77758431655016 |
L(r)(E,1)/r! |
Ω |
0.38879206800514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2945a1 |
Quadratic twists by: -31 |