Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400d |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-58815925000000000 = -1 · 29 · 511 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 1 -3 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-449408,116396188] |
[a1,a2,a3,a4,a6] |
Generators |
[3523:205600:1] |
Generators of the group modulo torsion |
j |
-1254749666272712/7351990625 |
j-invariant |
L |
4.6326519232293 |
L(r)(E,1)/r! |
Ω |
0.35355735688496 |
Real period |
R |
6.551485691938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400ce1 21280u1 |
Quadratic twists by: -4 5 |