Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010y |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1290590060544000 = -1 · 218 · 310 · 53 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39735,3501225] |
[a1,a2,a3,a4,a6] |
Generators |
[150:-1035:1] |
Generators of the group modulo torsion |
j |
-6938155789865069041/1290590060544000 |
j-invariant |
L |
9.689064676453 |
L(r)(E,1)/r! |
Ω |
0.46428975896332 |
Real period |
R |
0.15458202139858 |
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 |
60030j1 100050b1 |
Quadratic twists by: -3 5 |