Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17808d |
Isogeny class |
Conductor |
17808 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1034377537536 = -1 · 211 · 34 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 5 0 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9360,355104] |
[a1,a2,a3,a4,a6] |
Generators |
[36:252:1] |
Generators of the group modulo torsion |
j |
-44286127310882/505067157 |
j-invariant |
L |
4.9750803228043 |
L(r)(E,1)/r! |
Ω |
0.87927003853656 |
Real period |
R |
0.11787903850062 |
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 |
8904g1 71232dd1 53424j1 124656bh1 |
Quadratic twists by: -4 8 -3 -7 |