Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104n |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-291312 = -1 · 24 · 32 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,-73] |
[a1,a2,a3,a4,a6] |
j |
-544000/63 |
j-invariant |
L |
2.0559241026969 |
L(r)(E,1)/r! |
Ω |
1.0279620079381 |
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 |
48552x1 97104j1 |
Quadratic twists by: -4 17 |