Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850cp |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-775656000 = -1 · 26 · 36 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,198,756] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-42:1] |
Generators of the group modulo torsion |
j |
9393931/8512 |
j-invariant |
L |
4.4049962172718 |
L(r)(E,1)/r! |
Ω |
1.0413366011607 |
Real period |
R |
1.0575341854626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bc1 59850gi1 |
Quadratic twists by: -3 5 |