Atkin-Lehner |
2+ 3+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20670a |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-30916869734400 = -1 · 214 · 3 · 52 · 132 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6532,-171312] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1821:1] |
Generators of the group modulo torsion |
j |
30814728803051831/30916869734400 |
j-invariant |
L |
2.8480870860471 |
L(r)(E,1)/r! |
Ω |
0.3588135108914 |
Real period |
R |
3.9687567491141 |
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 |
62010cd1 103350cd1 |
Quadratic twists by: -3 5 |