Atkin-Lehner |
2+ 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350a |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
346619142923156250 = 2 · 3 · 56 · 73 · 476 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-220325,27874875] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:7715:1] [1009:28376:1] |
Generators of the group modulo torsion |
j |
75700387468140625/22183625147082 |
j-invariant |
L |
5.8749351248676 |
L(r)(E,1)/r! |
Ω |
0.28182669796142 |
Real period |
R |
6.9486380192325 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974l4 |
Quadratic twists by: 5 |