Atkin-Lehner |
3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24843o |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
98280 |
Modular degree for the optimal curve |
Δ |
-83476780050027 = -1 · 3 · 78 · 136 |
Discriminant |
Eigenvalues |
-2 3- 2 7+ 2 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-19322,1116938] |
[a1,a2,a3,a4,a6] |
j |
-28672/3 |
j-invariant |
L |
1.7756233969028 |
L(r)(E,1)/r! |
Ω |
0.59187446563431 |
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 |
74529q1 24843g1 147b1 |
Quadratic twists by: -3 -7 13 |