Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104bl |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
114848870508624 = 24 · 3 · 73 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97489,11737264] |
[a1,a2,a3,a4,a6] |
j |
265327034368/297381 |
j-invariant |
L |
0.5891828540484 |
L(r)(E,1)/r! |
Ω |
0.58918274564417 |
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 |
24276k1 5712v1 |
Quadratic twists by: -4 17 |