Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450z |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
4133376 |
Modular degree for the optimal curve |
Δ |
-4876551508328652800 = -1 · 213 · 52 · 478 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -5 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1696558,-857304188] |
[a1,a2,a3,a4,a6] |
Generators |
[82716:23745154:1] |
Generators of the group modulo torsion |
j |
-2004023020585/18096128 |
j-invariant |
L |
9.1942352439352 |
L(r)(E,1)/r! |
Ω |
0.066106386002827 |
Real period |
R |
5.3493233262691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450q1 2350k1 |
Quadratic twists by: 5 -47 |