Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020bk |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-832187814401790000 = -1 · 24 · 312 · 54 · 76 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96432,-42349867] |
[a1,a2,a3,a4,a6] |
j |
72268906496/606436875 |
j-invariant |
L |
0.55909776879951 |
L(r)(E,1)/r! |
Ω |
0.1397744372182 |
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 |
32340s1 1980d1 |
Quadratic twists by: -3 -7 |