Atkin-Lehner |
2+ 3- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502i |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-5540661352541952 = -1 · 28 · 37 · 74 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16857,3683245] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:2111:1] |
Generators of the group modulo torsion |
j |
-726693935892625/7600358508288 |
j-invariant |
L |
3.5625143604621 |
L(r)(E,1)/r! |
Ω |
0.36481910817867 |
Real period |
R |
0.81376273898458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834j1 |
Quadratic twists by: -3 |