Atkin-Lehner |
2- 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20670u |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
287040 |
Modular degree for the optimal curve |
Δ |
-105335960371200000 = -1 · 226 · 36 · 55 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 5 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77616,-17727087] |
[a1,a2,a3,a4,a6] |
Generators |
[949:27173:1] |
Generators of the group modulo torsion |
j |
-51710392435088395009/105335960371200000 |
j-invariant |
L |
6.9266413927604 |
L(r)(E,1)/r! |
Ω |
0.13428714247986 |
Real period |
R |
0.99193891320197 |
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 |
62010u1 103350o1 |
Quadratic twists by: -3 5 |