Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610i |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-308279024657184600 = -1 · 23 · 39 · 52 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4578594,-3769861492] |
[a1,a2,a3,a4,a6] |
Generators |
[1079779882016528:-7773819884175685:433454354432] |
Generators of the group modulo torsion |
j |
-6886621107/200 |
j-invariant |
L |
5.0445477056154 |
L(r)(E,1)/r! |
Ω |
0.051604284884359 |
Real period |
R |
24.438608716892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47610bf1 47610b2 |
Quadratic twists by: -3 -23 |