Atkin-Lehner |
2+ 3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502g |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-1521604123941833568 = -1 · 25 · 37 · 74 · 135 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -1 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3322107,-2330529467] |
[a1,a2,a3,a4,a6] |
j |
-5562078401367373992625/2087248455338592 |
j-invariant |
L |
0.4472973860144 |
L(r)(E,1)/r! |
Ω |
0.055912173178842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834k1 |
Quadratic twists by: -3 |