Atkin-Lehner |
3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10005g |
Isogeny class |
Conductor |
10005 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
-6424789539375 = -1 · 312 · 54 · 23 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 6 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6747,-248544] |
[a1,a2,a3,a4,a6] |
Generators |
[11828:135171:64] |
Generators of the group modulo torsion |
j |
-33974761330806841/6424789539375 |
j-invariant |
L |
5.566121668414 |
L(r)(E,1)/r! |
Ω |
0.26071017412082 |
Real period |
R |
5.3374611167213 |
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 |
30015b1 50025n1 |
Quadratic twists by: -3 5 |