Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610b |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-446343750 = -1 · 2 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -3 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30,1026] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:27:1] [14:243:8] |
Generators of the group modulo torsion |
j |
-213003/31250 |
j-invariant |
L |
6.7070683433969 |
L(r)(E,1)/r! |
Ω |
1.3671406050277 |
Real period |
R |
1.2264774227927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47610bj2 47610i1 |
Quadratic twists by: -3 -23 |