Atkin-Lehner |
3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22425s |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
203520 |
Modular degree for the optimal curve |
Δ |
-325300904296875 = -1 · 34 · 59 · 132 · 233 |
Discriminant |
Eigenvalues |
0 3- 5- 5 2 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-299833,63098869] |
[a1,a2,a3,a4,a6] |
Generators |
[233:2437:1] |
Generators of the group modulo torsion |
j |
-1526277183635456/166554063 |
j-invariant |
L |
6.5555473557102 |
L(r)(E,1)/r! |
Ω |
0.52053944975777 |
Real period |
R |
0.78710981448678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67275bb1 22425k1 |
Quadratic twists by: -3 5 |