Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450v |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-97593620000000000 = -1 · 211 · 510 · 474 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -4 -4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,81687,-12041383] |
[a1,a2,a3,a4,a6] |
Generators |
[682:18659:1] |
Generators of the group modulo torsion |
j |
790625399/1280000 |
j-invariant |
L |
13.217340283599 |
L(r)(E,1)/r! |
Ω |
0.17770229172374 |
Real period |
R |
3.3808691448573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22090i1 110450u1 |
Quadratic twists by: 5 -47 |