Atkin-Lehner |
3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24633f |
Isogeny class |
Conductor |
24633 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
305276769 = 38 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-221,996] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:48:1] |
Generators of the group modulo torsion |
j |
1630532233/418761 |
j-invariant |
L |
2.7350696861152 |
L(r)(E,1)/r! |
Ω |
1.6138353098513 |
Real period |
R |
1.6947638147582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8211b1 |
Quadratic twists by: -3 |