Atkin-Lehner |
3- 5+ 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
123225m |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
11459925 = 32 · 52 · 312 · 53 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 3 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-58,34] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-47:1] |
Generators of the group modulo torsion |
j |
878080000/458397 |
j-invariant |
L |
4.5706763763171 |
L(r)(E,1)/r! |
Ω |
1.9923713372016 |
Real period |
R |
0.5735221442805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123225h1 |
Quadratic twists by: 5 |