Atkin-Lehner |
5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52345b |
Isogeny class |
Conductor |
52345 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
994555 = 5 · 193 · 29 |
Discriminant |
Eigenvalues |
1 1 5+ 1 -3 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3124,66931] |
[a1,a2,a3,a4,a6] |
Generators |
[867:-428:27] |
Generators of the group modulo torsion |
j |
491355848971/145 |
j-invariant |
L |
6.4981001708796 |
L(r)(E,1)/r! |
Ω |
2.2303265746042 |
Real period |
R |
1.4567597958144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52345d1 |
Quadratic twists by: -19 |