Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ce |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2462862931200 = -1 · 28 · 310 · 52 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1143,73741] |
[a1,a2,a3,a4,a6] |
Generators |
[50:479:1] |
Generators of the group modulo torsion |
j |
9056932295/135136512 |
j-invariant |
L |
5.2493846424432 |
L(r)(E,1)/r! |
Ω |
0.60465600301964 |
Real period |
R |
0.72346709204264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950cb1 59850gc1 |
Quadratic twists by: -3 5 |