Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dx |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-203267836800 = -1 · 27 · 33 · 52 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,955,18237] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-240:1] |
Generators of the group modulo torsion |
j |
142842130965/301137536 |
j-invariant |
L |
8.4213012202218 |
L(r)(E,1)/r! |
Ω |
0.69470752501903 |
Real period |
R |
0.288620987519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850i2 59850z1 |
Quadratic twists by: -3 5 |