Atkin-Lehner |
3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46569o |
Isogeny class |
Conductor |
46569 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
20260800 |
Modular degree for the optimal curve |
Δ |
-1.8546430866873E+25 |
Discriminant |
Eigenvalues |
2 3- -3 0 6 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-29144372,215858231837] |
[a1,a2,a3,a4,a6] |
j |
-58192394268587511808/394220077776277131 |
j-invariant |
L |
5.3326989095616 |
L(r)(E,1)/r! |
Ω |
0.059252210108345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2451f1 |
Quadratic twists by: -19 |