Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24206f |
Isogeny class |
Conductor |
24206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24768 |
Modular degree for the optimal curve |
Δ |
-38396380204 = -1 · 22 · 72 · 134 · 193 |
Discriminant |
Eigenvalues |
2+ 0 3 7- -5 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,187,-9423] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-185:1] |
Generators of the group modulo torsion |
j |
14714497287/783599596 |
j-invariant |
L |
4.1241957058964 |
L(r)(E,1)/r! |
Ω |
0.55116718918434 |
Real period |
R |
0.935332279122 |
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 |
24206a1 |
Quadratic twists by: -7 |