Atkin-Lehner |
3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
22725o |
Isogeny class |
Conductor |
22725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
1294259765625 = 38 · 59 · 101 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 2 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20930,-1158928] |
[a1,a2,a3,a4,a6] |
j |
712121957/909 |
j-invariant |
L |
0.79391160997145 |
L(r)(E,1)/r! |
Ω |
0.39695580498573 |
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 |
7575g1 22725m1 |
Quadratic twists by: -3 5 |