Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610y |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
99784608750 = 2 · 38 · 54 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19764,1074298] |
[a1,a2,a3,a4,a6] |
Generators |
[77:29:1] [-103:1469:1] |
Generators of the group modulo torsion |
j |
96260823287/11250 |
j-invariant |
L |
7.0752466196449 |
L(r)(E,1)/r! |
Ω |
1.0229242570128 |
Real period |
R |
0.86458583946224 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870w2 47610o2 |
Quadratic twists by: -3 -23 |