Atkin-Lehner |
3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24909f |
Isogeny class |
Conductor |
24909 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14256 |
Modular degree for the optimal curve |
Δ |
-9738497367 = -1 · 32 · 196 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 4 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,4772] |
[a1,a2,a3,a4,a6] |
j |
-15625/207 |
j-invariant |
L |
1.0952174549269 |
L(r)(E,1)/r! |
Ω |
1.0952174549271 |
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 |
74727r1 69a1 |
Quadratic twists by: -3 -19 |