Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25230h |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
2820189177708933600 = 25 · 35 · 52 · 299 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1011463149,12381414233416] |
[a1,a2,a3,a4,a6] |
Generators |
[1175156:-585927:64] |
Generators of the group modulo torsion |
j |
7888454487007174781/194400 |
j-invariant |
L |
3.9879886823988 |
L(r)(E,1)/r! |
Ω |
0.13350624940407 |
Real period |
R |
5.9742352140068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690br4 126150cf4 25230q4 |
Quadratic twists by: -3 5 29 |