Atkin-Lehner |
3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573bj |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-63261891 = -1 · 36 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2 3- 1 7- 11- 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,63,-331] |
[a1,a2,a3,a4,a6] |
j |
110592/253 |
j-invariant |
L |
4.074018444218 |
L(r)(E,1)/r! |
Ω |
1.0185050421771 |
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 |
12397i1 111573bk1 |
Quadratic twists by: -3 -7 |