Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474ca |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-4996530322441961472 = -1 · 216 · 38 · 13 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-126779,108971691] |
[a1,a2,a3,a4,a6] |
j |
-6570725617/145686528 |
j-invariant |
L |
3.2622868597727 |
L(r)(E,1)/r! |
Ω |
0.20389293001203 |
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 |
28158b1 4446h1 |
Quadratic twists by: -3 -19 |