Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bn |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-15297125810176 = -1 · 222 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2156,192080] |
[a1,a2,a3,a4,a6] |
Generators |
[28:392:1] |
Generators of the group modulo torsion |
j |
-35937/496 |
j-invariant |
L |
4.4142055171875 |
L(r)(E,1)/r! |
Ω |
0.59264681169417 |
Real period |
R |
1.8620725833107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216s1 24304n1 1984j1 |
Quadratic twists by: -4 8 -7 |