Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610cg |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2599052568271257600 = -1 · 221 · 311 · 52 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-297662,-99542451] |
[a1,a2,a3,a4,a6] |
Generators |
[857:16131:1] |
Generators of the group modulo torsion |
j |
-14297287761529/12740198400 |
j-invariant |
L |
11.484155715148 |
L(r)(E,1)/r! |
Ω |
0.098541825216656 |
Real period |
R |
0.46246399829194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870b1 47610bu1 |
Quadratic twists by: -3 -23 |