Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216ch |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-5574754304 = -1 · 219 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3 3 7- 6 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1036,13328] |
[a1,a2,a3,a4,a6] |
j |
-1367631/62 |
j-invariant |
L |
10.722743881491 |
L(r)(E,1)/r! |
Ω |
1.3403429377233 |
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 |
97216m1 24304x1 97216by1 |
Quadratic twists by: -4 8 -7 |