Atkin-Lehner |
2- 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
97284m |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
186912 |
Modular degree for the optimal curve |
Δ |
-33090151742208 = -1 · 28 · 32 · 118 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549,-289665] |
[a1,a2,a3,a4,a6] |
j |
-90112/603 |
j-invariant |
L |
1.6505525822271 |
L(r)(E,1)/r! |
Ω |
0.2750920924352 |
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 |
97284l1 |
Quadratic twists by: -11 |