Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610be |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
11974153050000 = 24 · 39 · 55 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41258,3231577] |
[a1,a2,a3,a4,a6] |
Generators |
[167:905:1] |
Generators of the group modulo torsion |
j |
32431240269/50000 |
j-invariant |
L |
7.6625693341384 |
L(r)(E,1)/r! |
Ω |
0.71348891346384 |
Real period |
R |
2.6848943233535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47610h1 47610bi1 |
Quadratic twists by: -3 -23 |