Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104d |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-551598857605184256 = -1 · 28 · 37 · 74 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -1 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27490065,-55467695331] |
[a1,a2,a3,a4,a6] |
j |
-371806976516936704/89266779 |
j-invariant |
L |
0.52746732194696 |
L(r)(E,1)/r! |
Ω |
0.032966710153306 |
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 |
48552bb1 5712i1 |
Quadratic twists by: -4 17 |