Atkin-Lehner |
2+ 3- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502i |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
39775664166153552 = 24 · 38 · 72 · 13 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-475497,125956669] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:15263:1] |
Generators of the group modulo torsion |
j |
16309477249391796625/54561953588688 |
j-invariant |
L |
3.5625143604621 |
L(r)(E,1)/r! |
Ω |
0.36481910817867 |
Real period |
R |
0.40688136949229 |
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 |
15834j2 |
Quadratic twists by: -3 |