Atkin-Lehner |
3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24909g |
Isogeny class |
Conductor |
24909 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-13826845162132371 = -1 · 34 · 199 · 232 |
Discriminant |
Eigenvalues |
2 3+ -3 1 1 0 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6378,-5656165] |
[a1,a2,a3,a4,a6] |
j |
609800192/293901291 |
j-invariant |
L |
1.4855126810631 |
L(r)(E,1)/r! |
Ω |
0.18568908513288 |
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 |
74727s1 1311d1 |
Quadratic twists by: -3 -19 |